Question

Find mHK please help

Answer 1

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°