Question

the difference of measures of two complementary angle is 10°.Find measure of each of them

​

Answer 1

Answer:

Let x be the one angle.

So, the complement of x=90

o

−x.

Given, two complementary angles differ by 20

o

.

⇒ x+(x−10

o

)=90

o

⇒ 2x−10

o

=90

o

⇒ 2x=100

o

⇒ x=50

o

.

Then, the angles are x=50

o

and other angle is x−10

o

=50

o

−10

o

=40

o

.

Step-by-step explanation:

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Answer 2

Answer:

Let x be the one angle.

So, the complement of x=90°−x.

Given, two complementary angles differ by 20⁰.

⇒ x+(x−10o)=90⁰

⇒ 2x−10o=90⁰

⇒ 2x=100⁰

⇒ x=50⁰.

Then, the angles are x=50⁰ and other angle is x−10⁰=50⁰−10⁰=40⁰.

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