Math Problem Statement

Which one does not belong with the other three? Explain.

Four diagrams of angles. The first diagram shows a right angle split into angle 1 and angle 2 by a ray. The second diagram shows two separate angles: angle A which measures 50 degrees and angle B which measures 40 degrees. The third diagram shows a straight line split into angle 3 and angle 4 by a ray. The fourth diagram shows two separate angles: angle S which measures 65 degrees and angle T which measures 25 degrees.

Responses

first diagram; It is the only diagram with adjacent angles.

second diagram; It is the only diagram with complementary angles.

third diagram; It is the only diagram with supplementary angles.

fourth diagram; It is the only diagram with neither complementary nor supplementary angles.

Solution

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Math Problem Analysis

Mathematical Concepts

Angle Relationships
Complementary Angles
Supplementary Angles

Formulas

Sum of complementary angles = 90 degrees
Sum of supplementary angles = 180 degrees

Theorems

Complementary Angles Theorem
Supplementary Angles Theorem

Suitable Grade Level

Grades 6-8