Answer:
m∠c = 30°
Step-by-step explanation:
Given:
m∠e = 115° and m∠b = 85°
To find:
m∠c
Angle e and angle a are the linear pairs.
By the property of linear pair of angles,
m∠a + m∠e = 180°
m∠e = 180° - m∠a
115° = 180° - m∠a
m∠a = 180 - 115
= 65°
By the property of interior angles of a triangle,
m∠a + m∠b + m∠c = 180°
65° + 85° + m∠c = 180°
m∠c = 180 - 150
m∠c = 30°
Therefore, measure of angles c is 30°.
