Respuesta :

mhanifa

Answer:

  • mPEQ is 220°, mPQ is 140°

Step-by-step 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