Question

The angle measures of a triangle are shown:

Angle A: (5x – 5) degrees

Angle B: (3x + 3) degrees

Angle C: (5x) degrees



The sum of the measures of the three angles is equal to 180°. What is the measure of Angle B?

Answer 1

∠ B = 45°

Explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

5x - 5 + 3x + 3 + 5x = 180, simplify

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Thus

∠ B = 3x + 3 = 3(14) + 3 = 42 + 3 = 45°