Question

Find the value of x in the parallelogram

Answer 1

The value of $\text{x}$ the parallelogram is $\boxed{x = {{127}^ \circ }}.$

Further explanation:

Parallelogram is a type of quadrilateral in which opposite sides are equal and parallel.

The sum of two angles that are on the same line and having common vertex is 180 degree.

The angles that are on the same line is known as linear pair. The sum of linear pair is 180 degree.

Given:

$\angle {\text{ABC}} = {53^ \circ }.$

Explanation:

The sum of  $\angle ABC + y \;\text{is} {180^ \circ }.$

$\begin{aligned}\angle ABC + y &= {180^ \circ }\\{53^ \circ } + y &= 180\\y&= {180^ \circ } - {53^ \circ }\\y&= {127^ \circ }\\\end{aligned}$

The angle $\text{y}$ and angle $\text{x}$ are corresponding.

The corresponding angles are equal.

Therefore, the value of angle $\text{x}$ is ${127^ \circ }.$

The value of $\text{x}$ the parallelogram is $\boxed{x = {{127}^ \circ }}.$

Kindly refer to the image attached.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Angles

Keywords: parallelogram, x, value, parallel, linear pair, sum, adjacent angle, corresponding angles, 180 degree, 53 degree.

Answer 2

Well, since opposite sides of a parrallelogram add up to 180 degrees, by subtracting 53 from 180, you get x=127 degrees.