Question

If OY−→− bisects ∠GOM , and m∠GOY = 5x and m∠YOM = 3x + 8, find the value of x

Answer 1

Answer: X = 4

Step-by-step explanation: Since line segment OY bisects angle GOM, then angles GOY and YOM are congruent. So m∠GOY = m∠YOM. This means that 5x = 3x + 8. Solving for x, we get 2x = 8, so x = 4. Therefore, the value of x is 4.