College

In the diagram below, if arc AB measures 68° and arc DC measures 110°, find the measure of ∠BPC.

Select one:
A. 89°
B. 98°
C. 106°
D. 91°

Answer :

Final answer:

The measure of angle BPC is 89°.

Explanation:

To find the measure of angle BPC, we can use the fact that the measure of an angle formed by two intersecting chords is equal to half the sum of the measures of the intercepted arcs.

Given that arc AB measures 68° and arc DC measures 110°, we can calculate the measure of angle BPC as follows:

  1. Sum the measures of the intercepted arcs: 68° + 110° = 178°.
  2. Divide the sum by 2 to find the measure of angle BPC: 178° ÷ 2 = 89°.

Therefore, the measure of angle BPC is 89°.

Learn more about finding the measure of an angle in a circle here:

https://brainly.com/question/29682273

#SPJ14

Final answer:

The measure of angle BPC is 89°.

Explanation:

To find the measure of angle BPC, we can use the fact that the measure of an angle formed by two intersecting chords is equal to half the sum of the measures of the intercepted arcs.

Given that arc AB measures 68° and arc DC measures 110°, we can calculate the measure of angle BPC as follows:

  1. Sum the measures of the intercepted arcs: 68° + 110° = 178°.
  2. Divide the sum by 2 to find the measure of angle BPC: 178° ÷ 2 = 89°.

Therefore, the measure of angle BPC is 89°.

Learn more about finding the measure of an angle in a circle here:

https://brainly.com/question/29682273

#SPJ14

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