Answer: m∠5 = 116°
Explanation:
Because m∠4 and m∠6 are consecutive interior angles, then we know
m∠4 + m∠6 = 180
(106 - y) + (3y - 10) = 180
104 - y + 3x - 10 = 180
96 + 2y = 180
2y = 84
y = 42
And also the m∠4 and m∠5 are alternate interior angles, we get:
m∠5 = m∠4 = 3y - 10
Since we also calculate what y is, we just plugin.
mm∠5 = m∠4 = 3(42) - 10 = 126 - 10 = 116