Question

M∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°

Answer 1

Final answer is x=23.

Explanation:

Given that m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°

We know that sum of all three angles of a triangle equals 180 degree.

So we can write equation:

m∠A + m∠B + m∠C = 180°

60° +(3x − 2)° + (2x + 7)° = 180°

60 +3x − 2 + 2x + 7 = 180

67 +5x − 2 = 180

65 +5x = 180

5x = 180 - 65

5x = 115

`x=(115)/(5)`

x=23

Hence final answer is x=23.