Question

In the figure, if line m ║ line n and line p is a transversal then find x.
(A) 135°
(B) 90°
(C) 45°
(D) 40°

Answer 1

hey mate here's ur ans ↓↓

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Given, m∥n and p is the transversal.

3x + x = 180°(sum of the interior angles on the same side of transversal is 180°)

⇒4x = 180°
⇒x = 45°

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hope it helps u☺☺✌

Answer 2

Answer:

45°

Step-by-step explanation:

See the figure first.

We are given that two straight lines m and n are parallel to each other and another straight line p that crosses transversely line m and line n.

Now, from the properties of parallel straight lines, when two parallel lines are intersected by a transverse straight line, then the sum of the angles formed within the parallel lines on the same side is 180°.

Hence, x+3x =180°, ⇒4x= 180°, ⇒ x= 45° (Answer)