Multiple Choice
If angles and are complementary and degrees, what is the value of in degrees?
1. Measuring Angles
Complementary and Supplementary Angles
Multiple Choice
Which of the following pairs of angles are supplementary angles?
A
and
B
and
C
and
D
and
Verified step by step guidance1
Recall that supplementary angles are two angles whose measures add up to \(180^\circ\).
Check the sum of the first pair: \(30^\circ + 60^\circ = 90^\circ\). Since \(90^\circ \neq 180^\circ\), these are not supplementary.
Check the sum of the second pair: \(60^\circ + 120^\circ = 180^\circ\). Since the sum is exactly \(180^\circ\), these angles are supplementary.
Check the sum of the third pair: \(90^\circ + 90^\circ = 180^\circ\). These angles are also supplementary.
Check the sum of the fourth pair: \(45^\circ + 45^\circ = 90^\circ\). Since \(90^\circ \neq 180^\circ\), these are not supplementary.
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