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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

What is the m...

Question

What is the measure of $∠ P O Q$ ?

120 °

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70 °

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45 °

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60 °

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Solution

The correct option is B $70 °$
● $∠ Q O M$ measures $50 °$ .
● $∠ P O M$ measures $120 °$ .
● Therefore, $∠ P O Q = ∠ P O M - ∠ Q O M$
$= 120 ° - 50 °$
$= 70 °$

Hence, option $D$ is the correct answer.

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Similar questions

Question 1

Draw $∠ P O Q$ of measure $75^{\circ}$ and find its line of symmetry.

PQRS is a square such that PR and SQ intersect at O. State the measure of $∠ P O Q .$

∠ P O Q

△ P O Q,

P Q = 7 c m

∠ P Q O = 60^{o} = ∠ O P Q

∠ P O Q

75^{o}

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