Multiple Choice
If angles and are complementary and degrees, what is the value of in degrees?
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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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