Mathematics College

Use the drop-down menus to complete the statements.
A central angle of circle P is angle
The measure of RU is degrees.

Use The Drop-down Menus To Complete The Statements.A Central Angle Of Circle P Is AngleThe Measure Of

Answers

Answer 1

Answer:

Step-by-step explanation:

RU=59 degrees

angle = TPQ

Answer 2

Central angle of circle P is a angle equals to 121° and 73°.

The measure of arc RU is 59 degrees

What is circle?

" A circle is closed two dimensional shape , whose all points on the surface are equidistant from its center."

Definition of arc measure

"In a circle, the degree measure of an arc is equals to the central angle present in the included arc."

According to the question,

∠TPU and ∠UPR are supplementary angles.

Given , ∠UPR = 59°

Therefore,

∠TPU = 180° - 59°

         = 121°

∠TPQ + ∠QPR = 180°

∠QPR = 107°

Therefore ,

∠QPR = 180° - 107°

          = 73°

As per the definition of arc measure, we conclude

The measure of arc RU is equals to 59degrees.

Hence, central angle of circle P is a angle equals to 121° and 73° and

measure of arc RU is 59 degrees.

Learn more about circle here

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