Question

An exterior angle of a triangle is 96 ° and one of its interior opposite
angles if 42°. Find the measure of the other interior opposite angles.

Answer 1

Answer:

Let the Triangle be ABC

Step-by-step explanation:

So if exterior angle A is 96

its interior would be 180-96 that is 84

Now using Angle sum property we get angle C = 180- angle A - angle B

=180-84-42 =54 degrees.

Hope it helps in understanding the problem better.

Answer 2

Heya

Answer:54°

Step-by-step explanation:

[ Property ]Exterior angle of a triangle is equal to the sum of the opposite interior angles. Let the opposite interior angles be X and Y,where X =42°(Given)

Exterior angle =X +Y

96=42+Y

Y=54°

Hope it helps