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Let the angle be 'x'

And its complement angle be 'y'

By the problem,x=2/3y

We know that the sum of complementary angles is 90°

⇒y+2/3y=90°

⇒(3y+2y)/3=90°

⇒5y=270°

⇒y=54°

And x=2/3(54°)

⇒x=36°

Therefore the angles are 54°,36°.

And its complement angle be 'y'

By the problem,x=2/3y

We know that the sum of complementary angles is 90°

⇒y+2/3y=90°

⇒(3y+2y)/3=90°

⇒5y=270°

⇒y=54°

And x=2/3(54°)

⇒x=36°

Therefore the angles are 54°,36°.

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### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Sum of two complementary angles is 90.

let one of the angle be x.

a/q 2/3 of x +x= 90

2x/3 +x=90

(2x+3x)/3= 90

5x= 90*3

x= 270/5

∴x= 54

and 2/3 of 54= 2/3*54

= 2*18

= 36

(36+54=90°)

let one of the angle be x.

a/q 2/3 of x +x= 90

2x/3 +x=90

(2x+3x)/3= 90

5x= 90*3

x= 270/5

∴x= 54

and 2/3 of 54= 2/3*54

= 2*18

= 36

**so one angle is 36 which is two third of its complement 54.they are complementary angles.**(36+54=90°)