Which expression is equivalent to 4-10(9m-7)
1 answer:
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Answer:
a) Angles that are congruent are complementary to the same angle
Step-by-step explanation:
Considering the figure attached:
Two angles are complementary if their sum is 90°
given that :
∠KJM = ∠KLM = 90° --- (1)
∠KJC ≅ ∠MLC
⇒ ∠KJC = ∠MLC ---- (2)
∠KJM = ∠KJC + ∠CJM
so by (1) above eq becomes
∠KJC + ∠CJM = 90° --- (3)
Similarly for ∠KLM
∠KLM = ∠KLC + ∠MLC
∠KLC + ∠MLC = 90° ---- (4)
Substitute (2) in (4)
∠KLC + ∠KJC = 90°
Which proves that ∠KLC and ∠KJC are complementary angles
So,
Angles that are congruent are complementary to the same angle
