A and ∠B are complementary angles. ∠B and ∠C are supplementary angles.
If m∠A=20∘ , what is m∠C ?
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4
Answer:
If the sum of the measures of two angles is 90° they are known as complementary angles. Hence,the pairs of complementary angles are ∠B and ∠N, ∠D and ∠F, ∠Y and ∠E. If the sum of the measures of two angles is 180° they are known as supplementary angles. Hence, the pairs of supplementary angles are ∠B and ∠G, ∠N and ∠J.
Answered by
8
Answer:
Given,
∠A+∠B= 90⁰
=> 20⁰+ ∠B= 90⁰
=> ∠B= 90⁰-20⁰
=> ∠B=70⁰ ---------(i)
∠B+∠C=180⁰
=> 70⁰+∠C=180⁰
=> ∠C=180⁰- 70⁰
=> ∠C=110⁰
Therefore, m∠C=110⁰
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