Question

What is the measure of

Answer 1

The 3 angles of a triangle need to equal 180 degrees.

Angle B is given as 15, so the sum of angle A and C need to equal 180 - 15 = 165 degrees.

Set up the equation:

(12x+12) + (3x+18) = 165

Combine like terms:

15x + 30 = 165

Subtract 30 from each side:

15x = 135

Divide both sides by 15:

x = 135 /15

x = 9

Now you know X, replace x in each equation and solve:

A = 12x + 12 = 12(9) + 12 = 108 +12 = 120

B = 3x+18 = 3(9) +18 = 27 +18 = 45

Angle A = 120

Angle B = 45