Question

1.

If the measures of three angles of a quadrilateral
are 30, 70, and 110, find the measure of the fourth
angle.

Answer 1

The measures of the fourth angle is 150 .

Explanation:

Given :-

The measures of three angles of quadrilateral are 30 , 70 and 110.

To find :-

Find the measures of fourth angle.

Solution :-

Let, the measures of fourth angle be x.

We know that sum angles of quadrilateral are 360 .

30 + 70 + 110 + x = 360

combine like terms

210 + x = 360

subtract 210 from 360.

x = 360 - 210

x = 150

Therefore, the fourth angle of quadrilateral is 150.

Answer 2

150

Explanation:

The sum of the angles of a quadrilateral are 360. Let x be the unknown angle

30+70+110+x = 360

Combine like terms

210 +x = 360

Subtract 210 from each side

210+x-210 = 360-210

x = 150