Question

Can I Get Some Help But Dont Mind The "You will use the same image for question 8 and 9."

Answer 1

• mPEQ is 220°, mPQ is 140°

Explanation:

Let mPEQ = x and mPQ = y

The angle between two tangents is half the difference between the major and minor arcs.

• (x - y)/2 = 40

The sum of same arcs is full circle

• x + y = 360

Simplify the first equation

• x - y = 80

Add up with the second one and solve for x

• x - y + x + y = 80 + 360
• 2x = 440
• x = 220

Find the minor arc measure

• y = 360 - 220 = 140