#1

#3**0 **

sure... but next time you should just post a separate question, i'll see it there too.

we know that angle 1 plus angle 2 must equal 90, because they are on the same line as the other right angle.

if angle 2 is 40, that means angle 1 must be 90 - 40 = **50, **the second option.

hope this helped! please let me know if you are confused about anything i did

idyllic
Mar 17, 2021

#2**0 **

the area of this figure is simply the area of the trapezoid plus the area of the triangle.

to find the area of the trapezoid, we do \(\frac{10+16}{2} \cdot 9\) = \(\frac{26}2 \cdot 9\) = \(\frac{234}2 \) = \(117\).

now, to find the area of the triangle, we do \(\frac{6 \cdot 8}{2} = \frac{48}{2} = 24\).

117 + 24 = 141, so i believe your answer is 141.

hope this helped! sorry if any of my explanations weren't too clear. if you have any questions about anything i did, feel free to ask! :)

idyllic Mar 17, 2021