Question

To
52°
38°
142
x =
degrees

Answer 1

⇛ ∠ x° and ∠ 52° (Both are linear pairs).

A linear pair is a pair of adjacent angles formed when two lines intersect.

• The sum of angles of a linear pair is always equal to 180°

`\bf \large \implies \: \angle \: x \: + \: \angle \: 52 \: = \: 180 \degree`

`\bf \large \implies \: \angle \: x \: = \: \: 180 \degree \: - \: \angle \: 52 \:`

`\bf \large \implies \: \angle \: x \: = \: 128 \degree`

Answer 2

X= 128degrees

Explanation:

As, angles 52,38,142and X making 360 degree

52 +38+142+x=360

X=128