Answer:
Step-by-step explanation:
The picture of the question in the attached figure
<u><em>The question is</em></u>
Find the measure of arc DBE
step 1
Find the value of k
we know that
----> by quarter of circle
so
solve for k
step 2
Find the measure of angle DPC
we know that
substitute the value of k
step 3
Find the measure of angle BPD
we know that
---> by complementary angles
substitute the given value
step 4
Find the measure of arc DBE
we know that
----> by central angle
---> because a diameter divide the circle into two equal parts (BE is a diameter)
substitute