The three angles of a quadrilateral are 76°, 54° and 108°. Find the measure of the fourth angle.

Question

The three angles of a quadrilateral are 76&#xB0;, 54&#xB0; and 108&#xB0;. Find the measure of the fourth angle.

Philoid · Accepted Answer

Let A, B, C and D are the four angles of quadrilateral.

As we know that, Sum of all four angles of quadrilateral is 360^o.

A = 76°

B = 54°

C = 108°

So, D = 360^o – (A + B +C)

= 360^o – (76° + 54° + 108°)

= 122^o

So, fourth angle of quadrilateral will be 122^o.