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Lines And Angles — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSLines And Angles2 Marks
Question
If an angle is 28° less than its complement, find its measure.
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Answer

Let the measure of the angle be x°.
$\therefore$ Its complement will be (90 - x)°
It is given that
Angle = complement - 28°.
$\therefore$ x° = (90 - x)° - 28°
⇒ 2x° = 62°
⇒ x = 31°
$\therefore$ Angle measure dis 31°.

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