Question

An angle measures 4° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

43° and 47°

Explanation:

→ Let one angle be x and second angle be x + 4°

As we know the sum of complementary angle is 90°

So,

x + x + 4° = 90°

2x + 4° = 90°

x = 86°/2

x = 43°

Therefore , 1st angle is 43° and 2nd angle is 47°

Answer 2

`\huge\boxed{\sf 43 \textdegree, \ 47 \textdegree}`

Explanation:

Let the first angle be x, and the second angle be x + 4

Given that, they are complementary angles, they add up to 90 degrees.

x + x + 4 = 90

2x + 4 = 90

Subtract 4 to both sides

2x = 90 - 4

2x = 86

Divide 2 to both sides

x = 86/2

x = 43°

The second angle:

= x + 4

= 43 + 4

= 47°

`\rule[225]{225}{2}`