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Lines and Angles — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLines and Angles1 Mark
MCQ
Two supplementary angles are in the ratio $3 : 2.$ The smaller angle measures$?$
  • A
    $108^\circ $
  • B
    $81^\circ$
  • ✓
    $72^\circ$
  • D
    $68^\circ $
✓

Answer

Correct option: C.
$72^\circ$

 Given two supplementary angles are in the ratio $3 : 2.$
Let the measurement of the angles be $3x$ and $2x.$
Two angles are said to be supplementary if they sum upto $180^\circ .$
Then we have, $3x + 2x = 180^\circ $
$5x = 180^\circ $ or, $x = 36^\circ .$
So the smaller angle is $36^\circ \times 2 = 72^\circ .$

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