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Lines And Angles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLines And Angles2 Marks
Question
If the angles $(2x - 10)^\circ $ and $(x - 5)^\circ $ are complementary angles, find $x.$
✓

Answer

Since the angles are complementry. Theefore their sum will be $90^\circ . $
$\Rightarrow (2x - 10)^\circ + (x - 5)^\circ = 90^\circ $
$\Rightarrow 2x - 10 + x - 5 = 90 $
$\Rightarrow 3x = 105^\circ $
$\Rightarrow x = 35^\circ $

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