Jason drew a right triangle with complementary angles that measure (x + 3)° and (x + 9)°. What are the measures of the complemen
tary angles?
A. 44° and 46°
B. 89° and 91°
C. 42° and 48°
D. 51° and 39°
1 answer:
Answer:
C. 42° and 48°
Step-by-step explanation:
Complementary angles: Angles that add up to 90°.
So we can set up an equation..
(x + 3) + (x + 9) = 90
2x + 12 = 90
2x = 78
x = 39°
Now we can find the angles.
Angle 1:
(x + 3)
= 39 + 3
= 42°
Angle 2:
(x + 9)
= 39 + 9
= 48°
And we can check to see if they add to 90°,
42° + 48° = 90°
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