Question

GEOMETRY HELP PLEASE!7

Answer 1

Answer:

<CPE= 137

Step-by-step explanation:

In order to find the measure of (<CPE), one must add the measure of <(CPD) and (<DPE). From the given picture, one can infer that line (CA) is a diameter. This means that the sum of all angles on either side of the line is (180). Therefore, to find the measure of (<DPE) add up all of the angle measures on one side of the line, and set it equal to (180). Solve and then add the result to the value of (<CPD) to find the measure of (<CPE).

(<CPD) + (<DPE) + (<EPA) = 180

Substitute,

88 + (<DPE) + 43 = 180

Simplify,

131 + (<DPE) = 180

Inverse operations,

<DPE = 49

Now add the value of (<DPE) to (<CPD),

(<CPD) + (<DPE)

= 88 + 49

= 137