Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angles.

Question

Three angles of a quadrilateral are respectively equal to 110&#xB0;, 50&#xB0; and 40&#xB0;. Find its fourth angles.

Philoid · Accepted Answer

Given,

Three angles of quadrilateral = 110^∘, 50^∘, 40^∘

Let fourth angle be = X^∘

As we know sum of all angles of a quadrilateral =360^∘

So,

110^∘+50^∘+40^∘+X^∘ = 360^∘

X^∘= 360^∘ - 200^∘=160^∘