Triangle Angle Sum Theorem Practice Problems

Published on April 9, 2026

Geometry

Determine if sets of three angle measures can form a triangle by checking if their sum equals 180 degrees. Solve problems using the Triangle Angle Sum Theorem.

Question

Answer

The sum of the angle measures in any triangle is always

. We need to check if the sum of the given angles in each set is equal to

(a)
Sum =

.
Since

, these cannot be the angle measures of a triangle.

(b)
Sum =

.
Since the sum is

, these can be the angle measures of a triangle.

.
Since

, these cannot be the angle measures of a triangle.

(d)
Sum =

.
Since

, these cannot be the angle measures of a triangle.

The final answer is

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