Question

PLS tell me answer.​

Answer 1

AnswEr:-

Your Answer is,

• x = 60°.
• y = 77°

________________________________

ExplanaTion:-

Given:-

• AB ।। CD.

• <APQ = 60°.

• <PRD = 137°.

To Find:-

• The Value of x And y.

Concepts Used:-

• Alternate Interior Angles.

• Linear Pair:- The sum of Angles making an straight angle is always equal to 180°.

• Angle Sum Property of a Triangle:- Sum of all interior angles of a triangle is always equal to 180°.

So Here,

↦ <APQ = x.

[Alternate Interior Angles].

↦ x = 60°.

And,

↦ <DRP + <PRQ = 180°.

[Linear Pair].

↦ 127° + <PRQ = 180°.

↦ <PRQ = 180° - 137°.

↦ <PRQ = 43°.

Similarly,

↦ y + x + <PRQ = 180°.

[Angle Sum Property of a triangle].

↦ y + 60° + 43° = 180°.

↦ y + 103° = 180°.

↦ y = 180° - 103°.

↦ y = 77°.

❝Therefore the required value of x and y are 60° And 77° respectively.❞

Answer 2

HEY! UR ANSWER IS:

As said AB ll CD

ANGLE APQ = 60° AND ANGLE PRD= 137°

So the other adjacent angle= 180-60+137

= 103

y= 180- 103= 77°

x=60° cause it is adjacent to Angle APQ

HOPE THIS MAKES UR DAY BETTER!!