Question

Can someone please check my answers, especially number 9.

Answer 1

Sum of supplementary angles = 180

so <A and <B are supplementary angles so <A + <B = 180

<B is 30 more than <A so that means <B = <A + 30

Lets x = the measure of angle A

<A = x

<B = x + 30

Now

x + x + 30 = 180

2x + 30 = 180

2x = 150

x = 75

So

<A = 75°

<B = 75° + 30 = 105°

Answer

<A = 75°

<B = 105°