Question

tell
answer now please​

Answer 1

Given

• AB||CD

• $\sf \: \dfrac{ \angle \: mpb}{ \angle \: pqc} = \dfrac{5}{7}$

To Find

• ∠PQD and ∠MPA.

Solution

Let the ratio of ∠ MPB and PQC be 5x and 7x

A/Q

${\implies\sf 7x+5x= 180 ~~~~~ corresponding\ alternate\ angle}$

$\implies\sf 12x=180$

$\sf~~~~~~~~~~x=15$

• ∠MPB=75°
• ∠PQC=105°

Now We need to Find The value of∠PQD

${\implies\sf ∠PQC ∠PQD=180° ~~~~~~ By\ liner\ pair}$

$\implies\sf 105+∠PQD=180°$

$\implies\sf ∠PQD=180°-105$

$~~~~~~~~~~\sf ∠PQD=75°$

Now The value of∠MPA

${\implies\sf ∠MPB+∠MPA=180°. ~~~~ BY\ liner\ pair}$

$\implies\sf 75+∠MPA=180$

$\implies\sf∠MPA=180-75$

$~~~~~~~~\sf∠MPA=105°$

• ∠PQD=75°
• ∠MPA=105°