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BlackZzzverrR [31]
2 years ago
10

Consider the diagram below.

Mathematics
2 answers:
Elza [17]2 years ago
6 0

Answer: 110

Step-by-step explanation:

tester [92]2 years ago
6 0

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.

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