If MQ also bisects angle ∠LMP, find the measure of ∠QMP and find the value of x. ∠QMP = (5x + 10)º
1 answer:
Answer:
Step-by-step explanation:
If MQ also bisects angle ∠LMP, then;
<LMQ + <QMP = <LMP
Also <LMQ = <QMP
The equation becomes <QMP + <QMP = <LMP
2<QMP = <LMP
Let <LMP be 8x+40° (This is an assumed value)
2(5x+10) = 8x+40
Open the parenthesis
10x+20 = 8x+40
10x-8x = 40-20
2x = 20
x = 20/2
x = 10
Find <QMP
Since <QMP = 5x+10
<QMP = 5(10)+10
<QMP = 50+10
<QMP = 60 degrees
<em>Note that the angle <LMP was assumed. Any other function can be used depending on the question</em>
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