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8. LABC & ZDEF are Complementary angles. If the measurement of ZABC is 24.7°, what is the measurement of DEF? 49.40 65.3° 155.3° 24.70

8. LABC & ZDEF are Complementary angles. If the measurement of ZABC is 24.7°, what-example-1
User Eyal Abir
by
6.6k points

1 Answer

1 vote

∠DEF = 65.3° (option B)

Step-by-step explanation:

∠ABC and ∠DEF are complementary angles. This means both angles sum up to 90 degrees.

∠ABC = 24.7°

∠ABC + ∠DEF = 90°

24.7° + ∠DEF = 90°

∠DEF = 90° - 24.7°

∠DEF = 65.3° (option B)

User Mushroom
by
6.4k points