Question

If an angle differs its complement by 10°, find the angle.

Answer 1

40 is the answer...............

Answer 2

$\textbf {Hey there, here is the solution.}$

.............................................................................................

Complementary angles add up to 90°

STEP 1: Define x:

Let one angle be x

The other angle = 90 - x

.............................................................................................

STEP 2: Find x:

The difference of the 2 angles is 10°

(90 - x) - x = 10

90 - x -x = 10

2x = 80

x = 40

.............................................................................................

STEP 3: Find the angles:

one angle = x = 40°

The other angle = 90 - 40 = 50°

.............................................................................................

Answer: The angles are 40° and 50°

.............................................................................................

⭐$\textbf {Cheers}$⭐