in the given figure MN || PQ , if Angle MNO = 50° and Angle PQO = 40°, find angle NOQ .
Answers
Answer:
Step-by-step explanation:
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Answer:
Angle NOQ = 90°
Step-by-step explanation:
GIVEN :
Angle PQO =40°
Angle MNO =50°
FIND Angle NOQ?
Solution, :
Construction: Draw a line XY parallel to MN intersecting at pt O.
Now,
MN ll XY ll PQ
Angle PQO = Angle YOQ = 40°...........(1) (ALTERNATE ANGLES)
Angle MNO =Angle YON = 50°.............(2)
(ALTERNATE ANGLES)
ALTERNATE ANGLES: when two parallel lines intersects each other by a transversal, then the resulting angles corresponding to each other are equal.
Angle NOQ = Angle YOQ + Angle YON
= (1) + (2)
= 40° + 50°
= 90°