Find the measurement of angle c if angle e is 115° and angle b is 85°

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

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°.

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