Question

Jason drew a right triangle with complementary angles that measure (x + 3)° and (x + 9)°. What are the measures of the complementary angles?

A. 44° and 46°
B. 89° and 91°
C. 42° and 48°
D. 51° and 39°

Answer 1

C. 42° and 48°

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°