Problem Analysis:
The task is to determine whether the given pairs of angles are
complementary or
supplementary.
-
Complementary Angles: Two angles are complementary if their measures add up to \(90^\circ\).
-
Supplementary Angles: Two angles are supplementary if their measures add up to \(180^\circ\).
We will analyze each pair of angles step by step.
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Image Breakdown:
####
Top Pair (90° and 90°)
- The two angles are both \(90^\circ\).
- Sum of the angles: \(90^\circ + 90^\circ = 180^\circ\).
- Since the sum is \(180^\circ\), these angles are
supplementary.
####
Second Pair (54° and 36°)
- The two angles are \(54^\circ\) and \(36^\circ\).
- Sum of the angles: \(54^\circ + 36^\circ = 90^\circ\).
- Since the sum is \(90^\circ\), these angles are
complementary.
####
Third Pair (45° and 45°)
- The two angles are both \(45^\circ\).
- Sum of the angles: \(45^\circ + 45^\circ = 90^\circ\).
- Since the sum is \(90^\circ\), these angles are
complementary.
####
Fourth Pair (110° and 70°)
- The two angles are \(110^\circ\) and \(70^\circ\).
- Sum of the angles: \(110^\circ + 70^\circ = 180^\circ\).
- Since the sum is \(180^\circ\), these angles are
supplementary.
####
Fifth Pair (60° and 120°)
- The two angles are \(60^\circ\) and \(120^\circ\).
- Sum of the angles: \(60^\circ + 120^\circ = 180^\circ\).
- Since the sum is \(180^\circ\), these angles are
supplementary.
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Final Answers:
1. \(90^\circ\) and \(90^\circ\):
Supplementary
2. \(54^\circ\) and \(36^\circ\):
Complementary
3. \(45^\circ\) and \(45^\circ\):
Complementary
4. \(110^\circ\) and \(70^\circ\):
Supplementary
5. \(60^\circ\) and \(120^\circ\):
Supplementary
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Boxed Final Answer:
\[
\boxed{\text{Supplementary, Complementary, Complementary, Supplementary, Supplementary}}
\]
Parent Tip: Review the logic above to help your child master the concept of math worksheet for grade 6 and 7.
