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Lines And Angles — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsLines And Angles2 Marks
Question
An angle is equal to 8 times its complement. Determine its measure.
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Answer

Let the measure of an angle be x°.
Therefore, its complement will be (90 - x)°.
It is given that
⇒ x° = 8(90 - x)°
⇒ x = 720 - 8x
⇒ 9x = 720
⇒ x = 80
Therefore, the measure of the angles is 80°

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