Question

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the measure of angle of a quadrilateral is 50 120 and 100 degree. find the measure of fourth angle​

Answer 1

The measure of the fourth angle is 90°.

Explanation:

Let x be the measure of the fourth angle.

Given measures of the other angles : 50°,120° & 100°.

Knowledge Required :

The sum of all the interior angles of a quadrilateral is 360°.

Then,

50°+120°+100°+x=360°

⇒x = 360°-270°

⇒x = 90°

.°. x = 90°

Hence, the measure of the fourth angle is 90°.