Respuesta :

ILoveEleven

Answer:

Option B

Step-by-step explanation:

The 2 lines in this circle make a linear pair. this means that ∠CPE and ∠FPD are congruent this also means that their arcs are congruent. so you start out by setting 2x + 28 equal to 4x + 12. after you solve for x you should get x=8, inputting this into the angle equation (x + 60) and you should get 68

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When two straight lines or rays intersect at a shared endpoint, an angle is generated. The measure of ∠CPE is 68°.

What is an angle?

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."


The measure of the two chords CD and EF will be equal, therefore, we can write,

2x + 28 = 4x + 12

28 - 12 = 4x - 2x

16 = 2x

x = 8

The measure of ∠FPD will be equal to ∠CPE vertically opposite angles, therefore, the measure of the ∠FPD can be written as,

∠FPD = ∠CPE = (x+60)° = (8+60)° = 68°

Hence, the measure of ∠CPE is 68°.

Learn more about Angle:

https://brainly.com/question/7116550

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