Question

Find the value of 'x' then calculate the measure of angle C(2x + 15) in the triangle below.

Answer 1

x = 33

<C = 81

Explanation:

The sum of the angles of a triangle add to 180

x+ 2x+ 2x+15 = 180

Combine like terms

5x+15 = 180

Subtract 15 from each side

5x +15-15 =180-15

5x = 165

Divide by 5

5x/5 =165/5

x = 33

<C = 2x+15 = 2(33)+15 = 66+15 = 81

Answer 2

x = 33

c = 81

Explanation:

Sum of three angles of triangle = 180

x + 2x + 2x + 15 = 180

Combine like terms

5x + 15 = 180

Subtract 15 from both sides

5x = 180 - 15

5x = 165

Divide both sides by 5

x = 165 /5

x = 33

∠C = 2x + 15 = 2*33 + 15 = 66 + 15 = 81°