Question

in a triangle, an exterior angle at a vertex measures 95° and one of its interior angles measures 55°. Find the measures of the angles of the triangle​

Answer 1

Answer:

Exterior angle=95°

One of the interior angle is 55°

Exterior angle=sum of the opposite interior angles.

Let x be the another opposite interior angle

95°=55°+x

x=95°-55°

x=40°

The another opposite interior angle is 40°.

Let y be the third angle in the triangle.

The angles in a triangle are:-

55°+40°+y=180°

95°+y=180°

y=180°-95°

y=85°

The angles in a triangle are 55°,40° and 85°

hope it helps

Step-by-step explanation: