Question

In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x. ​

Answer 1

The 2 angles are supplementary. This means they have to add up to 180 degrees. The first angle is 8x and the second is x+27. So set both of them equal to 180.

8x + x + 27 = 180

9x = 153

x = 17

Angle 1 = 8(17) = 136

Angle 2 = (17) + 27 = 44

Check: Angle 1 + Angle 2 = 180

136 + 44 = 180

Explanation: