Question

Angle DFG and angle JKL are supplementary angles.

m∠DFG = x + 5 and m∠JKL = x - 9.
Find the measure of each angle.

Answer 1

To find the measure of angle DFG and angle JKL, we set up an equation using the fact that they are supplementary angles. After simplifying and solving for x, we find that x = 92. Substituting x back into the original expressions, we find that angle DFG = 97 and angle JKL = 83.

Step-by-step explanation:

We are given that angle DFG and angle JKL are supplementary angles, which means they add up to 180 degrees.

Let's set up an equation: x + 5 + x - 9 = 180

Combining like terms, we get 2x - 4 = 180. Adding 4 to both sides, we have 2x = 184. Finally, dividing both sides by 2, we find that x = 92.

Substituting x back into the original expressions, we find that angle DFG = 92 + 5 = 97 and angle JKL = 92 - 9 = 83.