Question

Find the measure of angle A.

A. 36°

B. 108°

C. 144°

D. 54°

Answer 1

B

Explanation:

The sum of the interior angles in a quadrilateral is 360°

Sum the given angles and equate to 360, that is

3x + 4x + 2x + x = 360

10x = 360 ( divide both sides by 10 )

x = 36

Hence

∠A = 3x = 3 × 36° = 108°

Answer 2

108°

Explanation:

In a quadrilateral,the sum of all the internal angles is 360°

From question,

3x+4x+2x+x=360°

or,10x=360°

or,x=36°

Therefore, angle A=3x=3*36°=108°