Question

In ΔIJK, m/I = (7x - 8)°, m/J = (« 11), and m/K = (2x - 13)°. Find m/J.

a) (7x - 8)°
b) (18 - 11)°
c) (2x - 13)°
d) (11 - 7x)°

Answer 1

To find m/J in triangle IJK, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We substitute the given values into the sum of angles equation and solve for x. After finding x, we can find m/J by substituting x into the equation.

Step-by-step explanation:

To find m/J in triangle IJK, we need to use the fact that the sum of the angles in a triangle is 180 degrees.

So, m/I + m/J + m/K = 180 degrees. We are given that m/I = (7x - 8), m/J = (« 11), and m/K = (2x - 13).

Substituting the given values, we have (7x - 8) + (« 11) + (2x - 13) = 180.

Simplifying the equation, we get 9x - 10 = 180. Solving for x, we find x = 20.

Now, we can find m/J using the equation m/J = (« 11) = (« 20) = -9 degrees.