Question

Consider the diagram below.

Answer 1

Answer: 110

Step-by-step explanation:

Answer 2

Answer:

(C) $110^{\circ}$.

Step-by-step explanation:

Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore

${\angle}FED=90^{\circ}$.

Now, it is given from the figure that ${\angle}FEP=35^{\circ}$, therefore

${\angle}FED={\angle}FEP+{\angle}DEP$

$90^{\circ}=35^{\circ}+{\angle}DEP$

${\angle}DEP=55^{\circ}$

Now, we know that The angle subtended at the center of a circle is double the size of the angle subtended at the edge from the same two points, therefore

${\angle}PCD=2{\angle}PED$

${\angle}PCD=2(55^{\circ})$

${\angle}PCD=110^{\circ}$

Thus, the measure of arc PD is $110^{\circ}$.

Hence, option (C) is correct.