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# Maths year 11 Watch

1. (Original post by hamza772000)
Yeah, but remember I told you if you SPLIT the angle in Tile B, you get the exterior angle of Tile A.
Omg I get it.

Interior angles add up to 180.

So 180-150=30??

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2. (Original post by z_o_e)
Omg I get it.

Interior angles add up to 180.

So 180-150=30??

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The interior + exterior = 180. Reason being because angles on a straight line add to 180.

The interior angles themselves don't add to 180, but the interior and exterior add to 180.

You're getting there
3. (Original post by hamza772000)
The interior + exterior = 180. Reason being because angles on a straight line add to 180.

The interior angles themselves don't add to 180, but the interior and exterior add to 180.

You're getting there
So if I split the triangle it will give me 30+150=180

And then?

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4. (Original post by z_o_e)
So if I split the triangle it will give me 30+150=180

And then?

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Yep.
Now, take a look at the formula that you use to work out the exterior angle, as you mentioned it's 360/n.

Now that you have the ext. angle, you may be able to do something with the formula.
5. (Original post by hamza772000)
Yep.
Now, take a look at the formula that you use to work out the exterior angle, as you mentioned it's 360/n.

Now that you have the ext. angle, you may be able to do something with the formula.
I don't get this!!!

Interior is on the inside.

Exterior is on the outside.

360/ number of sides .

Number of sides can't be 30.

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6. (Original post by z_o_e)
I don't get this!!!

Interior is on the inside.

Exterior is on the outside.

360/ number of sides .

Number of sides can't be 30.

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No, look, 360/n=30 is what you have rn. You're looking for n, how would you find that?
7. (Original post by hamza772000)
No, look, 360/n=30 is what you have rn. You're looking for n, how would you find that?
360/30?

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8. Yep!
9. (Original post by hamza772000)
Yep!
Ohhh.
But why do I find half the triangle?

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10. (Original post by z_o_e)
Ohhh.
But why do I find half the triangle?

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I don't know if you've seen it in a revision guide but if you extend the line from a vertex of the polygon, you get a straight line and then if you subtract the int. angle from 180 you get the ext angle.

In this scenario, if you look closely, you'll realise that splitting the angle in the triangle actually gives you a straight line, making the splitted angle the exterior, does that make sense? I'm sorry if that was confusing
11. (Original post by z_o_e)
Ohhh.
But why do I find half the triangle?

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You don't have to. You can use the fact that the angles add up to 360 degrees.
12. (Original post by hamza772000)
I don't know if you've seen it in a revision guide but if you extend the line from a vertex of the polygon, you get a straight line and then if you subtract the int. angle from 180 you get the ext angle.

In this scenario, if you look closely, you'll realise that splitting the angle in the triangle actually gives you a straight line, making the splitted angle the exterior, does that make sense? I'm sorry if that was confusing
Yeah ill go over this tomorrow. Got a headache from this question.

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13. (Original post by z_o_e)
Yeah ill go over this tomorrow. Got a headache from this question.

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Haha, no worries, it's never good to stress over a question, cya
14. (Original post by B_9710)
You don't have to. You can use the fact that the angles add up to 360 degrees.
Yep what do I do after that?

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15. (Original post by hamza772000)
Haha, no worries, it's never good to stress over a question, cya
I got this far with this question

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Attached Images

16. (Original post by z_o_e)
I got this far with this question

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The line PE bisects the interior angle of the hexagon at HAB. Mark this angle EAB, then angle EAB + PAB add to 180 degrees.
17. (Original post by B_9710)
The line PE bisects the interior angle of the hexagon at HAB. Mark this angle EAB, then angle EAB + PAB add to 180 degrees.
So my calculations are wrong?

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18. (Original post by z_o_e)
I got this far with this question

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You got the sum of all the interior angles correct. Now work out how much each one is worth as there are 8 of them. This should give you angle HAB. Recognise that HAP=BAP=y degrees (not sure if you need to prove this). This should give you interior + 2y = 360 since you've pointed out that interior + exterior = 360; and you can solve for y.
19. (Original post by z_o_e)
So my calculations are wrong?

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No they're not wrong. You have correctly calculated that one of the interior angles is 135 degrees. You can then halve it, which gives you the angle PAB and then the angles PAB and EAB are supplementary - thy add to 180 degrees as they're on a straight line.
20. (Original post by RDKGames)
You got the sum of all the interior angles correct. Now work out how much each one is worth as there are 8 of them. This should give you angle HAB. Recognise that HAP=BAP=y degrees (not sure if you need to prove this). This should give you interior + 2y = 360 since you've pointed out that interior + exterior = 360; and you can solve for y.
1 interior angle is - 1080/8 =135

So 135 +2y=360?

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Updated: December 10, 2016
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