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Answered

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The angles in this diagram are complementary.
What is the value of x?
(4x )°
(2x + 6)°

Sagot :

Answer:

x=168

Step-by-step explanation:

So basically Complementary are 2 angles that add up to 90°

(2x+6)=90

Move the constant to the right hand side and change its sign

2x=90-6

Substract the numbers

2x=84

Divide both sides by 2

x=42

Than plug in to (4x)

(4)(42)

which is =168

The value of x is 16°

What is complementary angle?

"The angles are said to be complementary, if two angles add up to form a right angle that is the sum of the two angles is 90°. They both complement each other".

For the given situation,

The angles are (4x )° and (2x + 6)°, so

⇒[tex](4x )[/tex]° [tex]+[/tex]  [tex](2x + 6)[/tex]° [tex]=90[/tex]°

⇒[tex]6x+6=90[/tex]°

⇒[tex]6x=90-6\\[/tex]

⇒[tex]6x=84[/tex]

⇒[tex]x=16[/tex]°

Hence we can conclude that the value of x is 16°

Learn more about complementary angles here,

https://brainly.com/question/1358595

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