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Lines and Angles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLines and Angles1 Mark
MCQ
The angle which is equal to 8 times its complement is:
  • A
    $88^\circ$
  • B
    $72^\circ$
  • ✓
    $80^\circ$
  • D
    $90^\circ$
✓

Answer

Correct option: C.
$80^\circ$
We know that two angles, whose sum is $90^\circ $, are called the complementary angle.
Let one angle be x then its complementary angle be 8x,
$x + 8x = 90^\circ$
$9x = 90^\circ$
$x = 10^\circ$
Its complementary angle is $8 \times 10 = 80^\circ .$

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