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Answered

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If the difference of the measures of two complementary angle is 120, then the angles will be A. 550, 350 B. 510, 390 C. 520, 380 D. none of these ​

Sagot :

Falensiariskaidn

Answer:

We know, two angles are said to be complementary, if the sum of their measures is 90

∘

.

Let the angle be x

∘

and its complement is 90

∘

−x

∘

Then, according to the statement,

⇒x

∘

−(90

∘

−x

∘

)=12

∘

⇒x

∘

−90

∘

+x

∘

=12

∘

⇒2x

∘

=12

∘

+90

∘

=102

∘

⇒x

∘

=

2

102

∘

=51

∘

.

Hence, the measure of the angle is x=51

∘

and its complement is 90

o

−x=90

o

−51

o

=39

∘

.

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