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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

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Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

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