Question

One interior angle of a triangle is 95.5°, and the other two interior angles are congruent. What is the degree measure of one of the congruent angles?

42.25°
47.75°
84.5°
90°

Answer 1

The degree measure of one of the congruent angles is A. 42.25°

How to calculate the angles?

The total sum of the angles in triangle is 180°.

Let the other congruent angles be x.

In this case, one interior angle of a triangle is 95.5°. The angles will be illustrated thus:

95.5 + x + x = 180°

95.5° + 2x = 180°

Collect like terms

2x = 180° - 95.5°

2x = 84.5°

Divide

x = 84.5° / 2

x = 42.25°

The angles are 42.25° each.

Explanation:

hope this helps!

Answer 2

the first thing you need to know is that ALL TRIANGLES ADD UP TO 180

Explanation:

the easiest way to answer this problem is to start from 180 and subtract from each answer choice until you get to zero. The KEY words in this problem are "the other two interior angles are congruent" meaning that both angles are the SAME.

180-95.5-42.25-42.25=0

So the correct answer is 42.25 degrees.