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

2 Answers

0 votes

the answer will be ....

38

User Wish
by
5.5k points
5 votes

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!

User Jeff Schaller
by
4.9k points