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# How would I answer this question? watch

1. This question was from one of the sample assessment materials from edexcel for the new maths 9-1 exams and im not sure how to answer it.

I know that opposite angles are equal in a parallelogram and add up to 360 degrees
2. (Original post by JackT2000)
This question was from one of the sample assessment materials from edexcel for the new maths 9-1 exams and im not sure how to answer it.

I know that opposite angles are equal in a parallelogram and add up to 360 degrees
Heres the question
3. Opposite angles are congruent, that is 5x-20 = 2x+43 and the sum of interior angles is 360 degrees.
4. (Original post by NotNotBatman)
Opposite angles are congruent, that is 5x-20 = 2x+43 and the sum of interior angles is 360 degrees.
5x - 20 = 2x + 43 (-2x)

3x - 20 = 43 (+20)

3x. = 63 (/3)

x = 21
5. (Original post by JackT2000)
5x - 20 = 2x + 43 (-2x)

3x - 20 = 43 (+20)

3x. = 63 (/3)

x = 21
Correct.
6. (Original post by NotNotBatman)
Correct.
Ok now how would I find the value of X and y for the other pair of opposite angles
7. (Original post by JackT2000)
Ok now how would I find the value of X and y for the other pair of opposite angles
There is only one value of x, x=21. Use the fact that the interior angle sum is 360 in a quadrilateral and substitute x=21.
8. (Original post by NotNotBatman)
There is only one value of x, x=21. Use the fact that the interior angle sum is 360 in a quadrilateral and substitute x=21.
There is a missing angle though ?
9. now that you know x you can work out 2 angles exactly. the other 2 are equal to each other, and the total of the 4 angles is 360 degrees.
10. (Original post by JackT2000)
There is a missing angle though ?
diagonally opposite angles are equal.
11. (Original post by the bear)
now that you know x you can work out 2 angles exactly. the other 2 are equal to each other, and the total of the 4 angles is 360 degrees.
5(21) - 20 = 85
2(21) + 43 = 85

Now what do I do ?
12. (Original post by JackT2000)
5(21) - 20 = 85
2(21) + 43 = 85

Now what do I do ?
consider the total of the angles in a Quadrilateral
13. (Original post by the bear)
consider the total of the angles in a Quadrilateral
I don't understand
14. the 4 angles add up to 360 degrees.
15. (Original post by the bear)
the 4 angles add up to 360 degrees.
Yeah I know that but there is a missing angle and I don't know what it is?

Could you show me the full workings for this question please?
16. (Original post by JackT2000)
Yeah I know that but there is a missing angle and I don't know what it is?

Could you show me the full workings for this question please?
Sadly this is forbidden. We can only give hints along the way ?

17. (Original post by JackT2000)
Yeah I know that but there is a missing angle and I don't know what it is?

Could you show me the full workings for this question please?
you said so yourself, opposite angles are equal. therefore if there is a missing angle, take a look at the opposite angle, and it will be the same!
18. 85 + 85 + ? + ? = 360
19. (Original post by dnr_23)
you said so yourself, opposite angles are equal. therefore if there is a missing angle, take a look at the opposite angle, and it will be the same!
So 4y - 5x = 4y - 5x
20. 360-85-85 = 190. Half of that is what the bottom right is equal to. Half of 190 = 95. You know what x is. Solve for y.

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