Angles A and B are complementary to each other. Angle A equals (3x + 1) and Angle B equals (2x + 9). What are the correct degrees for Angles A & B?

Angle A: 49°

Angle B: 41°

Step-by-step explanation:

Complementary angles add up to 90°, so we can set up an equation with this to find x:

(3x + 1) + (2x + 9) = 90

Add like terms:

5x + 10 = 90

Solve for x:

5x = 80

x = 16

Now, we need to plug in 16 as x to find the angle measures:

3x + 1

3(16) + 1 = 49 (Angle A)

2x + 9²

2(16) + 9 = 41 (Angle B)

Angle A= 49 degrees

Angle B= 41 degrees

Step-by-step explanation:

1. FInd x

3x+1+2x+9=90

3x+2x=80

5x=80

x=16

2. Find angle A

3x+1

3(16)+1

=49 degrees

3. Find angle B

2x+9

2(16)+9

32+9

=41 degrees