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GCSE Angles help (Foundation)

I have these two questions in my Textbook. Im not sure how to work it out. Any step by step help on each question, really trying to understand i cant.

Any help?

Questions 11 and 12:


Thanks
Reply 1
Avatar for Woody.
Woody.
12
I haven't done angles in a looong time, so these may not be 100% correct

11)Angle SQP = 180 - (115+23) = 42.

As both shapes are the same, angle RQS is 42 too.

Therefore angle PQR is 84

12) a) ABC = 34 * 2= 68

b) BDC = Because it's an isosceles DBC = BCD

34 + 34 = 68

180 - 68 = BDC
= 112

c) ADC = 112 * 2 = 124

I haven't explained these very well. If you're unclear on what I've done please ask!
Reply 2
Avatar for flyp
flyp
OP
im unclear on B and C
Reply 3
Avatar for Woody.
Woody.
12
Isosceles have the same bottom angles See this picture: http://upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Isosceles-triangle.svg/300px-Isosceles-triangle.svg.png

Therefore, DBC and BDC must be the same.

If you look at the two triangles, they're exactly the same shape, therefore DBA and BAD must both be 34* too.

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