Question

Please help me thank you so much.

Answer 1

Question 1:

Here's an interesting property of trapezoids:

Since this is a trapezoid, we know the following:
a+36 = 180
b+113 = 180

We only want to solve for a

a + 36 = 180

Subtract both sides by 36

a = 144

Your answer is the second choice.

Question 2:

Since LM is the midsegment, the length of LM is the average of the length of AB and DC.

(AB + DC) / 2 = LM

(46 + 125) / 2

= 171 / 2

= 85.5

The last choice is your answer.

Have an awesome day! :)