asked 100k views
1 vote
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
asked
User Ixrec
by
8.7k points

1 Answer

3 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°

answered
User Giorgio Ghiatis
by
8.2k points

No related questions found