Question

In triangle AJHN, if the measure of angle MZJ is x - 1, mZH is 2x + 3, and mZN is 3x - 2 (where x > 1), what is the measure of angle MZJ?

A. 1
B. x - 1
C. 2x + 3
D. 3x - 2

Answer 1

The measure of angle MZJ in triangle AJHN can be found by solving the given equation obtained from the sum of angles in a triangle.

Step-by-step explanation:

In triangle AJHN, we are given that the measure of angle MZJ is x - 1, mZH is 2x + 3, and mZN is 3x - 2.

To find the measure of angle MZJ, we need to determine the value of x.

Since the sum of the angles in a triangle is 180 degrees, we can write the equation (x - 1) + (2x + 3) + (3x - 2) = 180.

Simplifying this equation, we get 6x = 180, and dividing both sides by 6 gives us x = 30.

Therefore, the measure of angle MZJ is 30 - 1 = 29 degrees.