Question

8. If the angles in a triangle measure (2x + 9), (4x - 5), and (3x-4)°

a. Solve for x.
b. Find the measure of the largest angle

Answer 1

To solve for x, set up an equation using the sum of the angles in a triangle. The largest angle measures 79 degrees.

Step-by-step explanation:

To solve for x, we can set up an equation using the fact that the sum of the angles in a triangle is 180 degrees:

(2x + 9) + (4x - 5) + (3x - 4) = 180

Solving this equation, we get:

2x + 9 + 4x - 5 + 3x - 4 = 180

9x = 180 + 5 + 4

9x = 189

x = 21

To find the measure of the largest angle, we substitute the value of x into the expressions for the angles:

Largest angle = 4x - 5

Largest angle = 4(21) - 5 = 79 degrees

Learn more about Triangle angles