Answer:
m∠1 = 50°, m∠2 = 90°, m∠3 = 40°, and m∠4 = 50°
Step-by-step explanation:
Step-by-step explanation:
Angles on straight line are equal;
m \angle1 + 130 = 180
m \angle1= 180 - 130 \\ m \angle1= 50
Vertical angles are equal,
m \angle4= m \angle \: 1= 50 \degree
Complementary angles add up to 90°.
m \angle3 + m \angle4 = 90 \degree \\ 40 + m \angle3 = 90 \degree. \\ m \angle3 = 90 \degree - 50 \degree \\ m \angle3 = 40 \degree
Angles on straight line adds up to 180°
m \angle1 + m \angle2 + m \angle3 = 180 \degree
40 + m \angle2 + 50 = 180 \\ m \angle2 = 180 - 50 - 40 = 90
