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Question: What is the value of X°
In this complementary angle? ​

*PLS HELP* I need help on this and please provide an explanation Thank you! Question-example-1
User Ruhalde
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2 Answers

10 votes

Answer:

x=30

Yes, they are complementary

Explanation:

The two angles shown add up to the right angle marked. Right angles are 90 degrees. Set up the following equation:

2x°+x°=90

3x°=90

x=30

Complementary angles are two angles that add up to 90°. Since the two angles add up to 90 degrees, they are complementary.

User Longbiao CHEN
by
8.4k points
4 votes

Answer:


\boxed{\boxed{ \tt \: x = 30 {}^( \circ)}}

Explanation:

The Given two angles are complementary angles .

The Two angles are 2x° and x°.[Given]

[Two angles are called complementary if their sum is 90°. Each angle is a complement to each other.]

We need to find the value of x.

So,


\tt2x {}^( \circ) + {x}^( \circ) = 90{}^( \circ)

Solve this equation.


\tt \implies(2x + {x} ){}^( \circ) = 90{}^( \circ)

Combine the like terms:


\tt3x{}^( \circ) = 90{}^( \circ)

Divide both sides by 3 :


\tt \implies \cfrac{3x{}^( \circ) }{3{}^( \circ) } = \cfrac{90{}^( \circ) }{3{}^( \circ) }

Cancel the LHS and RHS:


\tt \implies \cfrac{ \cancel{3x{}^( \circ)} }{ \cancel{3{}^( \circ)} } = \cfrac{ \cancel{90}{}^( \circ) }{ \cancel{3{}^( \circ)} }


\tt \implies \cfrac{1x{}^( \circ) }{1{}^( \circ) } = \cfrac{30{}^( \circ) }{1{}^( \circ) }


\tt \implies 1x{}^( \circ) = 30{}^( \circ)


\tt \implies x{}^( \circ) = 30{}^( \circ)


\tt \implies x{}^( \circ) = 30{}^( \circ)

Hence, the value of x° would be 30°.


\rule{225pt}{2pt}

I hope this helps!

User Haluk
by
7.6k points

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