Question

If line MO bisects angle PMN, angle PMN =74 and angle OMN =(2x+7)

Answer 1

Answer:

15

Step-by-step explanation:

We can find the value of x from the question

If If line MO bisects angle PMN at M, then <PMO = < OMN  and

<PMO + < OMN = <PMN

The equation then becomes;

<OMN + < OMN = <PMN

2<OMN = <PMN

Given

angle PMN =74 and

angle OMN =(2x+7)

Substituting the values into the formula to get x

2(2x+7) = 74

open the bracket

4x+14 = 74

Subtract 14 from both sides

4x+14-14 = 74-14

4x = 60

x = 60/4

x = 15

Hence the value of x is 15°