Answer:
m∠a = 60°
m∠b = 85°
m∠c = 85°
m∠d = 25°
Step-by-step explanation:
m∠a:
Angle a is vertical angle with the 60° angle, and vertical angles are congruent. 60°= 60°. This tells us that m∠a = 60°.
m∠b:
Using the measurement for angle a that we just found, we see that we have a triangle. A triangle's angles add up to 180 degrees, so 180° - 60° - 35° = 85°. This tells us that m∠b = 85°.
m∠c:
Angle c is a vertical angle of angle b, so they are congruent to each other. 85° = 85°. This tells us that m∠c = 85°.
m∠d:
A straight angle, or a line, is 180 degrees. Using the measurement for angle c that we found, we can find angle d. 180° - 85° - 70° = 25°. This tells us that m∠c = 25°.
