Find the measure of each angle in the triangle.

Question

Find the measure of each angle in the triangle.

A=x-36

B=1/2x+18

C=3x-72

What is the measurement of each angle?

Answer 1

Since the sum of all the angles in a traingle is 180 degrees, we can add all three expressions together and make the sum equal to 180.

A + B + C = 180

(x-36) + (1/2x + 18) + (3x - 72) =180

Now combine like terms and use inverse operations to determine the value of x:

4.5 x - 90 = 180

4.5 x -90 + 90 = 180 + 90

4.5x = 270

x = 270/4.5

x = 60

Therefore the measure of each angle is:

A: x - 36 = 60 - 36 = 24 degrees

B: 1/2 x + 18 = 1/2 * 60 + 18 = 30 + 18 = 48 degrees

C: 3x -72 = 3 * 60 - 72= 180 - 72 = 108 degrees

The sum of all three angles is 180 degrees (24 + 48 + 108 = 180)