drcsisterslove
drcsisterslove drcsisterslove
  • 14-09-2021
  • Mathematics
contestada

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

What are the measures of angles ab and c Show your work and explain your answers class=

Respuesta :

mistressofdark
mistressofdark mistressofdark
  • 14-09-2021

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°

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