Ray QM is the angle bisector of angle NQR. If angle PQN = 7x + 15 and angle NQM = 4x, what is the value of x?
1 answer:
Answer:
x = 2.7
Step-by-step explanation:
From the question given above, the following data were obtained:
QM = angle bisector of angle PQR
Angle PQN = 7x + 15
Angle NQM = 4x
x =?
Since QM is the angular bisector, it means that it bisect PQR into two equal angle i.e 45° each.
See attachment for diagram.
Thus, we can obtain the value of x as follow:
7x + 15 + 4x + 45= 90° (angle in a right angle triangle)
7x + 4x + 15 + 45= 90
11x + 60 = 90
Collect like terms
11x = 90 – 60
11x = 30
Divide both side by 11
x = 30/11
x = 2.7
Therefore, the value of x is 2.7
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