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3 years ago

If the measure of angle 2 is twice the measure of angle O, then which of the following must be true?

Mathematics

2 answers:

Dima020 [189]3 years ago

7 0

Answer:-C. is the correct option."m∠P = m∠O"

Explanation:-

Let the measure of ∠O be x

Then ∠2= 2x ..........>Exterior angle of triangle

We know that for a triangle ,

Exterior angle= Sum of opposite interior angles

⇒∠2=∠O+∠P

⇒2x=x+∠P [Substitute values of ∠O and ∠2]

⇒x=∠P [Subtract x on both sides]

⇒∠P=∠O=x [Transitive property]

∴ C. is the correct option.

iogann1982 [59]3 years ago

5 0

measure of angle 2 is twice the measure of angle O
so m<O = mC. m∠P = m∠O

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