What is the arc measure of AEB in degrees

305 degree

Step-by-step explanation:

As AD and CE are the diameters of circle P, so that they intersect each other at point P.

=> So that ∡CPA and ∡DPE are two vertical angles.

=> ∡CPA = ∡DPE = 93 degree

As we can see, ∡CPA = ∡CPB + ∡BPA =38 + ∡BPA

=> ∡BPA = ∡CPA - 38 = 93 - 38 = 55 degree

As P is the centre of the circle, so that ∡BPA is equal to the measure of the arc AB, equal to 55 degree.

In the circle P, the total measure of arc AEB and arc AB are 360 degree

=> arc AEB + arc AB = 360

=> arc AEB = 360 - arc AB = 360 - 55 = 305

So that the measure of arc AEB is 305 degree

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

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step-by-step explanation: