Answer:
Option D.) 
is correct.
Step-by-step explanation:
In a quadrilateral, ABCD, opposite angles are supplementary.
therefore 
therefore option D.) is correct.
Answer: Red
Step-by-step explanation:
The y intercept is -2 so its either green or red
the slope is positive so its red
Complementary angles = 90°
x= angle 1
(90-x)= angle 2
Subtract the two angles to get the difference between them (18°).
(90-x) - x= 18
combine like terms
90 - 2x= 18
subtract 90 from both sides
-2x= -72
divide both sides by -2
x= 36° angle 1
Substitute answer in to find angle 2:
=90 - x
=90 - 36
=54° angle 2
Hope this helps! :)
Answers:
B = 50
a = 10.9
c = 17.0
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Explanation:
This is a right triangle, so the acute angles are complementary, meaning they add to 90
B+40 = 90
B+40-40 = 90-40
B = 50
Also, because this is a right triangle, we can use trig ratios to compute the missing sides
tan(angle) = opposite/adjacent
tan(40) = a/13
a = 13*tan(40)
a = 10.908
a = 10.9
cos(angle) = adjacent/hypotenuse
cos(40) = 13/c
c*cos(40) = 13
c = 13/cos(40)
c = 17.0
note: make sure your calculator is in degree mode
