Question

In AJKL, MZJ = (8x – 7)°, mZK = (x + 7)°, and mZL = (2x + 15)°. What is the value of x?

a) 5
b) 6
c) 7
d) 8

Answer 1

To find the value of x in triangle AJKL, we can set up an equation using the sum of the triangle's angles and solve for x. The value of x is 15.

Step-by-step explanation:

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

We have:

• MZJ = (8x – 7)°
• mZK = (x + 7)°
• mZL = (2x + 15)°

We can set up an equation to solve for x:

(8x – 7) + (x + 7) + (2x + 15) = 180

Combining like terms:

11x + 15 = 180

Subtracting 15 from both sides:

11x = 165

Dividing both sides by 11:

x = 15

So the value of x is 15.