Question

2. The sum of the interior angles in a quadrilateral is 360°. Determine the value of x in

the diagram on the right.

Answer 1

267/5 ( or ) 53.2

Explanation:

Note : -

□ means 90°

2x - 42 + 3x + 45 + 90 = 360

2x + 3x + 45 - 42 + 90 = 360

5x + 3 + 90 = 360

5x + 93 = 360

5x = 360 - 93

5x = 267

x = 267/5 ( in fraction )

( or )

x = 53.2° ( in decimal )