Three angles are described as follows: ∠𝑩 is half the size of ∠𝑨. The measure of ∠𝑪 is equal to one less than two times the measure of ∠𝑩. The sum of ∠𝑨 and ∠𝑩 is 114°.

Question

Can you help me find the answer?

Answer 1

B = A/2

C = 2B-1

A+B = 114

A + A/2 + 2(A/2) -1 = 114

5A/2 = 115

A = (2/5)115 = 2(23) = 46 degrees

A = 46 degrees

B= 23 degrees

C =45 degrees

46+23+45 = 114