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! :)
