Two complementary angles are represented by x and x+14 . find the value of x

Question

asked Sep 26, 2021 56.9k views

2 Answers

Jeff Schaller · Answer 1 · 2021-09-30T09:47:50+0000

Answer:

$x=38\textdegree$

Explanation:

Remember that complementary angles always add up to 90°.

We know that the two complementary angles are represented by (x) and (x+14). In other words:

(x)+(x+14)=90

So, let's solve for x.

First, combine like terms:

2x+14=90

Let's isolate the x by subtracting 14 from both sides:

(2x+14)-14=(90)-14

The left cancels. Subtract on the right:

2x=76

Divide both sides by 2:

(2x)/(2)=(76)/(2)

The left side cancels. Divide on the right:

$x=38\textdegree$

So, the value of x is 38°.

And we're done!