Question

What is the value for x?

Answer 1

Right of the bat, I know the measure of angle C equals 73° because of the Isosceles Base Angle Theorem. Then, due to the Triangle Sum Theorem, I know that all of the measures in the triangle must add to 180°. To find this, just subtract 73 and 73 from 180. Finally, because angle B equals (6x + 4) and 34°, just set them equal to each other to find the value of x.


180 - 73 - 73 = measure of angle B
34° = measure of angle B

6x + 4 = 34
      - 4    - 4
6x = 30
6x / 6 = 30 / 6
x = 5

Hope this helps!