Question

plss answer the given attachment

Answer 1

Question ;

• In Fig. AB || CD  ∠APQ = 50° and  ∠PRD = 127° .Find x and y

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$\: \: \: \: \: \: \large{\underbrace{\underline{ \pmb{Answer }}}}$

• x = 50°
• y = 77°

Step-by-step explanation

❒Given data

• AB ||CD
• ∠APQ = 50° and
• ∠PRD = 127°

❒We need to Find out

• Angle x and Angle Y ?

❒Solution

AB||CD PQ straight line intersects these at P and Q. 

Therefore ,

$\\ : \longmapsto \qquad \qquad \: \text{∠APQ = ∠PQR} \: \qquad \bigg \{ \text{alternate angles} \bigg \}$

$\\ : \longmapsto \qquad \qquad \: \angle50 \degree \: = \angle \: \text{ PQ R}$

$\\ \large \pink {: \longmapsto \qquad \qquad \: \boxed{ \frak x \: = 50 \degree}}$

Similarly, AB||CD PR straight line intersects these at P and R.

Therefore ,

$\\ : \longmapsto \qquad \qquad \: \text{∠APR= ∠PRD} \: \qquad \bigg \{ \text{alternate angles} \bigg \}$

$\\ : \longmapsto \qquad \qquad \sf \angle APQ + \angle \: QPR = \angle \: PRD \:$

$\\ : \longmapsto \qquad \qquad \sf 50 \degree + \angle \: QPR = 127 \degree \:$

$\\ \sf: \longmapsto \qquad \qquad \angle \: QPR = 127 \degree - 50 \degree$

$\\ \large \pink{ \sf: \longmapsto \qquad \qquad \boxed{\boxed{ \pmb{\angle \:QPR = 77 \degree}}} }$

$\bigstar \fbox{\boxed{ \text{Hence The Value Of \green{ x=50° }And \green{y =77°}}}} \bigstar$

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