Question

C

A
B
The sum of the angles in a triangle is 180°. In triangle ABC, m2A-4x+ 34, m/B-7x-10, m/C= 5x + 12. Write and
solve an equation to find the value of x.
a. x = 9
b. x = 10
C. X = 11
d. x = 12
Please select the best answer from the choices provided

Answer 1

The sum of the angles in a triangle is 180°. By setting up an equation with the given angle measures, we can solve for x and find that x = 9.

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180°. In triangle ABC, the measure of angle A is given as mA = 4x + 34°, angle B is given as mB = 7x - 10°, and angle C is given as mC = 5x + 12°.

To find the value of x, we can set up an equation:

mA + mB + mC = 180°

(4x + 34) + (7x - 10) + (5x + 12) = 180

Combining like terms, we get:

16x + 36 = 180

Solving for x, we subtract 36 from both sides:

16x = 144

And then divide both sides by 16:

x = 9

Therefore, the value of x is 9. So, the correct answer is a. x = 9.

Learn more about Triangle angles