Question

Given the following diagram, find the missing measure.
2
m2 = 40°, m 24 = 150°. m _3 =
30
0 70
O 110
150

Answer 1

m3 = 110°

Step-by-step explanation:

m1 = 180° - m4 ( sum of angles in a straight angle )

m1 = 180° - 150° = 30°

m3 = 180° - (m2 + m1) ← sum of angles in a triangle

m3 = 180° - (40 + 30 )° = 180° - 70° = 110°