Question

Need help on the last 2 questions..!

Answer 1

What they want is the measure of angle 3 + the measure of angle 4.

Since angle 3 and angle 4 together create a straight line, this means they are supplementary, or adding up to 180°. So, m<4 + m<3 = 180

Answer 2

24)

<3 + <4 = 180 (supplementary angles)

25)

m<1 +  m<2 = 180  (supplementary angles, sum = 180)

4x + 12 +  7x + 3 = 180

11x + 15 = 180

11x = 165

 x = 15

So

m< 1 = 4x + 12 = 4(15) + 12 = 72°

m<2 = 7x + 3 = 7(15) + 3 = 108°

m<3 = m<1 (vertical angles)

6y = 72

 y= 12

 Answer

 x = 15 ;  m< 1 = 72°,   m<2 = 108°  and  y = 12