(1)
In this diagram P, Q and R lie on the circle, centre O
PQ is parallel to OR
Angle QPO = mº and QRO =2 m
Find the value of m
Answers
The value of m is 36
Step-by-step explanation:
In the given figure
∵ PQ is parallel to OR
And OP is a transversal line
∴ ∠QPO + ∠POR = 180° (Sum of the angles on same side of parallel lines)
or, ∠POR = 180°- ∠QPO
or, ∠POR = 180°- m°
Similarly
∠PQR = 180°- 2m°
The external angle
∠POR = 360° - Internal ∠POR
= 360° - (180°- m°)
= 180°+ m°
From the properties of circle
External angle ∠POR = 2(∠PQR)
or, 180°+ m° = 2(180°- 2m°)
or, 180°+ m° = 360°- 4m
or, 5m° = 180°
or, m° = 180°/5 = 36°
Therefore, the value of m is 36
Hope this answer is helpful.
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Answer:
36
Step-by-step explanation:
5m=180
m=36
I hope u have an answer but , I really don't know how to explain.Thank you guys this is answer like if it is right