Question

In the figure, ∆PQR is right angled at Q, ML||RQ and angle LMR=130 degrees. Find angle LPM, angle PML and angle PRQ.


Answer as fast as possible

Explain clearly and step by step

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Answer 1

Step-by-step explanation:

Given: ∠Q=90°

ML∥ RQ

∠LMR=130°

To find: ∠LPM=?

∠PML=?

Statement

1. ∠PML+∠LMR=180°

⇒∠PML+130°

=180°

⇒∠PML=50°

2. ∠PLM=∠PQR

=90°

3. ∠PLM+∠PML+∠LPM=180°

⇒90°

+50° +∠LPM=180°

⇒∠LPM+140°

=180°

⇒∠LPM=40°

Hope it helps..u dear✌️✔️