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Chord Properties of Circles

Which numbere...

Question

Which numbered angle represents the same angle as $∠ P M R$ in the given figure?

∠ 1

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∠ 2

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∠ 4

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∠ 3

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Solution

The correct option is D $∠ 3$
You can clearly see $∠ P M R$ is same as the angle in the figure $(3)$
$∴ ∠ P M R = ∠ 3$
Option $D$ is correct.

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P Q ∥ R S

∠ Q P M = 95^{o}

∠ P M R = 30^{o}

∠ M R S

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Question 39

In the given figure, if $A B ∥ C D$ , then

a) $∠ 2 = ∠ 3$
b) $∠ 1 = ∠ 4$
c) $∠ 4 = ∠ 1 + ∠ 2$
d) $∠ 1 + ∠ 2 = ∠ 3 + ∠ 4$

A B = A D, ∠ 1 = ∠ 2 = ∠ 3 = ∠ 4

A P = A Q

∠ A B C = ∠ A C B

∠ 3 = ∠ 4

∠ 1 = ∠ 2

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