Question

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

Answer 1

Answer:

Final answer is x=23.

Step-by-step 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

$x=\frac{115}{5}$

x=23

Hence final answer is x=23.