Question

Describing the Relationship of Angles in a Triangle
Three angles of a triangle are cut off and lined up on the line below.

 

A straight line. 2 lines form a V and come out of the line. The middle angle formed is 90 degrees, and the right angle is 45 degrees.

Which statements describe the relationship of the angles in the triangle? Check all that apply.
The sum of the three angles is 90°.
The sum of the angles in the triangle is 180°.
The three angles are adjacent and form a straight angle.
The third angle is 45°.
There is a pair of congruent angl

Answer 1

Check these statements as true:
- The sum of the angles in the triangle is 180°. — True (triangle angle-sum theorem).
- The three angles are adjacent and form a straight angle. — True (they are placed next to each other on a line, so together they make a 180° straight angle).
- The third angle is 45°. — True (180° − 90° − 45° = 45°).
- There is a pair of congruent angles. — True (the rightmost and the third angle are both 45°).

Do not check:
- The sum of the three angles is 90°. — False.