In Triangle A B C, what is the value of x? Triangle A B C. Angle A is 112 degrees. Exterior angle to angle B is 2 x degrees and

Question

2 years ago

10

the exterior angle to angle C is (2 x + 12) degrees.

2 answers:

ozzi · Answer 1 · 2022-08-22T18:13:46+03:00

ozzi2 years ago

6 0

Answer:

70º

Step-by-step explanation:

i took the test

Stolb23 [73] · Answer 2 · 2022-08-22T16:19:14+03:00

Answer:

70°

Step-by-step explanation:

∠A =112°,

Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)

Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x

∠A + ∠B + ∠C = 180 (sum o angles in a triangle)

112 + 180 - 2x + 168 - 2x = 180

460 - 4x = 180

4x = 460 - 180 = 280

x = 280/4 = 70

x = 70°