In the circle, measure of modifying above Upper B Upper C with arc= 62 ° .
A circle is shown with the four-sided polygon ABCD inside of the circle. Line PCQ lies outside of the circle.
What is measure of angle B C P?
(1 point)
Responses
51°51degree
31°31degree
98°98degree
41°
Since angle ABC and angle ACD are inscribed angles that subtend the same arc, they are equal.
Therefore, angle BCD = 62°.
Now, angle BCP is just the exterior angle of triangle BCD. The exterior angle of a triangle is equal to the sum of the interior opposite angles. Therefore, angle BCP = angle BCD + angle CBD.
Given angle BCD = 62° and angle CBD = 31°, we have:
angle BCP = 62° + 31° = 93°
Therefore, the measure of angle BCP is 93°.
Therefore, provided options are not correct, and the correct measure of angle BCP is 93°.