Question

In the figure given below AB and MN are parallel to each other and OP is a transversal also AM parallel to BN such that angle MAB =90degree If angle BAN=50 degree find angle PAM and angle ANM

Answer 1

Given :- In the figure given below AB and MN are parallel to each other and OP is a transversal also AM parallel to BN such that angle MAB =90degree If angle BAN=50 degree find angle ANM. ?

Solution :-

from given data and image we have :-

→ AB || MN. (given)

→ AM || BN .(given).

and,

→ ∠MAB = 90° (given).

Therefore,

→ ABNM is a rectangle. { Opposite sides are parallel and intersect at 90°. }

Now,

→ ∠BAN = 50° (given)

since , AB || MN.

and, AN is a diagonal .(or transversal) .

Hence,

→ ∠BAN = ∠ANM .{ alternate interior angles. }

→ ∠ANM = 50° (Ans.)

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