Answer:
<h2>15</h2>
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°
The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.
.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5
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According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
For four the answer is a for five the answer is b