Question

Two angles are complementary. The larger angle is 24 degrees less than twice the measure smaller angle. Find the measure of the two angles. Let x be the measure of the smaller angle and let y be the measure of the larger angle.

Answer 1

Answer:

Step-by-step explanation:

Since the angles are complimentary, x+y=90

Let y =90-x

2x-24=y

90-x=2x-24

3x=114

x=38 degrees and y=52 degrees

Hope the answer helped you

Answer 2

Step-by-step explanation:

Given:

• Two angles are complementary
• Larger angle is 24° less than twice the measure of smaller angle.

To Find:

• What is the measure of the two angles?

Solution: Let the measure of smaller angle be x° and measure of larger angle be y°.

• Sum of Complementary angles = 180°
• x° + y° = 90°

A/q

$\small\implies{\sf }$ x = 2y – 24°.........(1)

$\small\implies{\sf }$ x + y = 90°

$\small\implies{\sf }$ 2y – 24° + y = 90° [ From equation 1 ]

$\small\implies{\sf }$ 3y = 90° + 24°

$\small\implies{\sf }$ 3y = 114°

$\small\implies{\sf }$ y = 114°/3

$\small\implies{\sf }$ y = 38°

Hence, measure of larger angle = y = 38° and measure of smaller angle = x = 2y – 24

→ x = 2 x 38 – 24

→ x = 76 – 24

→ x = 52°