Question

Help me please and thank you

Answer 1

x = 20

y = 10

m∡8 = 110°

Explanation:

m∡1 + m∡2 = 180

5x + y + 3x + y = 180

8x + 2y = 180

m∡1 = m∡8 (they are alternate-exterior angles and are congruent)

5x + y = 3x + 5y

2x = 4y

x = 2y

Substitute '2y' for 'x' in 8x + 2y = 180

8(2y) + 2y = 180

18y = 180

y = 10

x = 2(10)

x = 20

m∡8 = 3(20) + 5(10) = 110°