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HELP!

Line n ‖ line BC.

Which statements about the figure must be true?


Choose all answers that are correct.

A.

m∠1 = 45°


B.

m∠2 + m∠3 = 84°


C.

m∠2= 45°


D.

m∠3 = 45°

HELP! Line n line BC. Which statements about the figure must be true? Choose all answers that are correct. A. m 1 = 45 B. m 2 + m 3 = 84 C. m 2= 45 D. m 3 = 45 class=

Verified Answer :

McSwagPants

B) 
Because if you find the degrees for angle 1 you get:
180⁰ - 45⁰- 39⁰ = 96⁰ <- angle 1
The triangle in the center has 3 angles, and those 3 angles will equal 180⁰
So, 180⁰ - 96⁰ = 84⁰

Refer to the other answer to see how letter c was done

konrad509

\(m\angle 1=180-45-39=96 \Rightarrow \text{A not true}\\ m\angle 2+m \angle 3=180-m\angle 1=180-96=84 \Rightarrow \text{B true}\)

\(m \angle 2\) and the above angle with \(45^{\circ}\) are alternate interior angles so \(m \angle2 =45 \Rightarrow \text{C true}\)

\(m \angle3=180- m\anlge1 - m\angle 2\\ m \angle 3=180-96-45=39 \Rightarrow \text{ D not true}\)

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