How do you find the measure of angle b with only angle c and the outside of angle a

Question

asked Sep 17, 2023 78.0k views

2 Answers

Eenoku · Answer 1 · 2023-09-18T12:32:28+0000

Answer:

b = 36°

Explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle , then

b + 81° = 117° ( subtract 81° from both sides )

b = 36°

Sharpper · Answer 2 · 2023-09-23T22:40:35+0000

Explanation:

straight angle a + 117 = 180

a = 180 - 117

= 63

total angle in triangle = 180

63 + b + 81 = 180

b = 180 - 63 - 81

= 36