I've got another one of these

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

Angle 2 = 45

Step-by-step explanation:

"The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent."

This means that angle 1 and angle 3 are equal. This can be shown by drawing a mirrored F.

Since angles on a straight line add up to 180.

Angle 2 + Angle 3 = 180

Angle 2 + 135 = 180

Angle 2 = 180 - 135

Angle 2 = 45

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We know that angle MKJ is comprised of angle MKL and angle LKJ. That means if we add MKL and LKJ, we should get 80 degrees, which is the measure of angle MKJ.

$MKL + LKJ= MKJ \implies \\ 2x+10+3x-5=80 \implies \\ 5x+5=80 \implies\\ 5x=75 \implies \\ x=15$