randymoronta202 randymoronta202
  • 02-04-2020
  • Mathematics
contestada

What is the value of the angle marked with x?

What is the value of the angle marked with x class=

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shilpa85475 shilpa85475
  • 10-04-2020

Given:

Quadrilateral with opposite lines are parallel.

To find:

The value of x

Solution:

Quadrilateral with opposite lines are parallel.

Therefore the quadrilateral is a parallelogram.

In parallelogram, the adjacent angles are supplementary angles.

⇒ 48° + x = 180°

Subtract 48° from both sides.

⇒ 48° + x - 48° = 180° - 48°

⇒ x = 132°

The value of the angle x is 132°.

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