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°
