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Question
In ΔABC, ∠C=50⁰ and ∠A = ∠B. What is the measure of ∠A?
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Solution
The correct option is C 65⁰
We know that the sum of interior angles in a triangle is 180⁰.
Therefore, ∠A + ∠B+ ∠C = 180⁰
∠A + ∠B + 50⁰ = 180⁰
Since ∠A = ∠B, we can write it as,
2(∠A)+ 50⁰ = 180⁰
On simplifying we get,
2(∠A) = 130⁰
∠A = 65⁰
Hence option C is the answer.
We know that the sum of interior angles in a triangle is 180⁰.
Therefore, ∠A + ∠B+ ∠C = 180⁰
∠A + ∠B + 50⁰ = 180⁰
Since ∠A = ∠B, we can write it as,
2(∠A)+ 50⁰ = 180⁰
On simplifying we get,
2(∠A) = 130⁰
∠A = 65⁰
Hence option C is the answer.
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