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°
"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,
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