Question

What is the measure of the missing angle?

Answer 1

Therefore the measure of the missing angle x, is 90°.

Explanation:

Let name the vertices of a Quadrilateral as ABCD such that

∠A = 107°

∠B = 72°

∠C = 91°

∠D = x

To Find:

x = ?

Solution:

In a quadrilateral,

Sum of the measures of all the angles is add up to 360°

`\angle A+\angle B+\angle C+\angle D=360\°`

Substituting the values we get

`107+72+91+ x = 360\\x = 360 -270=90\\\therefore x=90\°`

Therefore the measure of the missing angle x, is 90°.