In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is

Question

In a triangle, an exterior angle at a vertex is 95&#xB0; and its one of the interior opposite angle is 55&#xB0;, then the measure of the other interior angle is

Philoid · Accepted Answer

We know that,

In a triangle an exterior angle is equal to sum of two interior opposite angle.

Let, the required interior opposite angle be x.

x + 55^o = 95^o

x = 95^o – 55^o

= 40^o

Thus, other interior angle is 40^o.