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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 $4 : 5.$ Find the angles.
  • A
    $20^\circ , 25^\circ $
  • B
    $40^\circ , 50^\circ$
  • ✓
    $80^\circ , 100^\circ$
  • D
    $60^\circ , 75^\circ$
✓

Answer

Correct option: C.
$80^\circ , 100^\circ$
 Supplementary angles add up to form
Two angles are in ratio $4 : 5 ($given$)$
Let one angle be $4x$ and other be $5x$
Hene $4x + 5x = 180 ($supplementary angles$)$
$\Rightarrow9\text{x}=180$
$\Rightarrow\text{x}=\frac{180}{9}=20$
Hence two angles are
$4x = 4 × 20 = 80$
$5x = 5 × 20 = 100$
Hence two angles are

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