Advertisement Remove all ads

An Angle is Equal to 8 Times Its Complement. Determine Its Measure. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

An angle is equal to 8 times its complement. Determine its measure.

Advertisement Remove all ads

Solution

It is given that angle = 8 times its complement

Let ‘x’ be measured angle

⇒ angle = 8 complements

⇒ angle = 8(90 - x)°                [  ∴ complement = (90 - x)° ]

⇒ x° = 8(90) - 8x°

⇒  9x° = 720°

⇒ x = `720/9` = 80

∴ The measured angle is 80°

Concept: Pairs of Angles
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.1 | Q 7 | Page 7

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×