173k views
2 votes
A triangle has a 90° angle, and the other two interior angles are congruent. Explain how to find the measure of one of the two congruent angles.

User Meeque
by
4.9k points

2 Answers

6 votes

Answer:

The sum of the measure of the interior angles of a triangle is 180°. If x represents the measure of one of the congruent interior angles, then 2x + 90 =180 represents the sum of the measures of all the angles. Solve the equation and x = 45°.

Explanation:

User Blessed
by
5.8k points
2 votes

Answer:

45º

Explanation:

If the two interior angles are congruent they are the same. All angles add up to 180º, so 180-90=90. 90/2=45, ergo the answer is 45º.

User Ellery Newcomer
by
4.9k points