Question

Find the value of the unknown angle x.

The diagram is not drawn to scale.

Please help. Thank you.

Answer 1

Explanation:

Since angles in quadrilateral (4-sided shape) add up to 360 degrees

therefore,

360 = 164 + 71 + 25 + x

360 = 260 + x

subtract 260 from both sides

360-260 = 260-260 + x

100 = x

Answer 2

Explanation:

interior angle =(n-2)180

=(4-2)*180

=360

360=164+71+24+x

360=260+x

x=360-260

x=100