Question

In triangle ABC, angle A is 85 degrees, B is 4x +27 degrees and C=64 degrees. What is the value of x?

Answer 1

x = 1

Explanation:

the sum of the 3 angles in a triangle is 180°, that is

∠ A + ∠ B + ∠ C = 180 ( substitute values for A, B and C )

85 + 4x + 27 + 64 = 180 ( simplify left side )

4x + 176 = 180 ( subtract 176 from both sides )

4x = 4 ( divide both sides by 4 )

x = 1