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

a. m∠p is greater than m∠o
b. m∠p is less than m∠o
c. m∠p = m∠o
d. m∠2 = m∠o

-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.

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step-by-step explanation:

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%