Question

*PLS HELP*

Answer 1

Answer:

x=30

Yes, they are complementary

Step-by-step 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.

Answer 2

Answer:

$\boxed{\boxed{ \tt \: x = 30 {}^{ \circ}}}$

Step-by-step 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!