The length of a rectangle is 1 more than twice its width. The rectangle has an area of 210 m2.
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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 .