What are the measures of angles a,b, and c? Show your work and explain your answers.
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Answer:
a = 35°
b = 55°
c = 110°
Step-by-step 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°