Let’s solve each problem step by step. Remember:
-
Complementary angles add up to
90°.
-
Supplementary angles add up to
180°.
We’ll look at each diagram and decide which rule applies, then subtract the known angle from 90 or 180 to find “x”.
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Problem 1:
Two angles form a right angle (L-shape). One is 36°, so they are complementary.
→ x = 90 - 36 =
54
Problem 2:
Two angles on a straight line — one is 74°, so they are supplementary.
→ x = 180 - 74 =
106
Problem 3:
Right angle again — one part is 57°, so complementary.
→ x = 90 - 57 =
33
Problem 4:
Straight line — one angle is 148°, so supplementary.
→ x = 180 - 148 =
32
Problem 5:
Right angle — one part is 42°, so complementary.
→ x = 90 - 42 =
48
Problem 6:
Straight line — one angle is 137°, so supplementary.
→ x = 180 - 137 =
43
Problem 7:
Right angle — one part is 31°, so complementary.
→ x = 90 - 31 =
59
Problem 8:
Straight line — one angle is 152°, so supplementary.
→ x = 180 - 152 =
28
Problem 9:
Right angle — one part is 48°, so complementary.
→ x = 90 - 48 =
42
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Final Answer:
1. 54
2. 106
3. 33
4. 32
5. 48
6. 43
7. 59
8. 28
9. 42
Parent Tip: Review the logic above to help your child master the concept of supplementary angles worksheet to print.
