Find the measure of unknown angle

Mathematics

1 answer:

inna [77]2 years ago

8 0

Answer:

a = 85° , b = 30° , c = 65°

Step-by-step explanation:

∠ a and 85° are alternate angles and are congruent , so

a = 85°

∠ c and 65° are alternate angles and are congruent , so

c = 65°

a, b and c lie on a straight line and sum to 180° , that is

a + b + c = 180°

85° + b + 65° = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

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