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What are the measures of angles a,b, and c? Show your work and explain your answers.

What are the measures of angles a,b, and c? Show your work and explain your answers-example-1
User UXerUIer
by
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1 Answer

17 votes
17 votes

Answer:

a = 35°

b = 55°

c = 110°

Explanation:

Vertically opposite angles are equal.

a = 35° [Vertically opposite angles]

Sum of all angles of a triangle is 180°.

a + b + 90° = 180° [Angles of a triangle]

=> 35° + b + 90° = 180°

=> 35° + b = 180° - 90°

=> 35° + b = 90°

=> b = 90° - 35°

=> b = 55°

Linear pair of angles are supplementary.

c + 70° = 180° [Linear pair of angles]

=> c = 180° - 70°

=> c = 110°

User Yanill
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