Question

Given that in triangle ABC, m∠A = (3x + 22)°, m∠B = (3x - 2)°, and m∠C = (2x + 19)°, find the value of x. Round to the nearest hundredth if necessary.

Answer 1

To find the value of x in the given triangle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Step-by-step explanation:

To find the value of x in the given triangle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees. So, we have the equation:

(3x + 22) + (3x - 2) + (2x + 19) = 180

Simplifying this equation gives:

8x + 39 = 180

Subtracting 39 from both sides:

8x = 141

Dividing both sides by 8:

x = 17.625

Rounding to the nearest hundredth, x ≈ 17.63