Question

I need help with solving the value of x. Then finding the measure of the base angle.

Answer 1

Answers:

x = -3

base angle = 49 degrees

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Work Shown:

The missing angle is (2x+55) degrees since the base angles are congruent.

Add up the three angles and set the sum equal to 180. Solve for x.

(82)+(2x+55)+(2x+55) = 180

4x+192 = 180

4x = 180-192

4x = -12

x = -12/4

x = -3

Use this x value to find the base angle

B = base angle

B = 2x+55

B = 2*(-3)+55

B = -6+55

B = 49 degrees