Using the picture above find the measure of VPW

Given:

Measure of arc UV is 56 degrees.

The measure of arc QW is 132 degrees.

To find:

The measure of angle VPW.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

Substituting the given values, we get

Now,

          [Linear pair]

Therefore, the measure of angle VPW is .

55

step-by-step explanation:

2

step-by-step explanation:

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