The m<GKJ = 56o, m<GKH = 4x + 2, and m<JKH = 7x - 12. Solve for the measures of angles GKH and JKH.
(2 points) m<GKH = degrees m<JKH = degrees
We are given the following information:
m<GKJ = 56°
m<GKH = 4x + 2
m<JKH = 7x - 12
To find the measure of angle GKH, we need to substitute the given value of m<GKJ into the equation for m<GKH:
56 = 4x + 2
Next, we need to solve this equation for x:
4x = 56 - 2
4x = 54
Dividing both sides by 4:
x = 54/4
x = 13.5
Now that we have the value of x, we can substitute it into the equation for m<GKH to find its measure:
m<GKH = 4(13.5) + 2
m<GKH = 54 + 2
m<GKH = 56
Therefore, m<GKH = 56°.
To find the measure of angle JKH, we can substitute the value of x into the equation for m<JKH:
m<JKH = 7(13.5) - 12
m<JKH = 94.5 - 12
m<JKH = 82.5
Therefore, m<JKH = 82.5°.
So, m<GKH = 56° and m<JKH = 82.5°.