MCQ
If an angle is eight times its complementary angle, then the measurement of the angle is:
- A$90^\circ$
- B$20^\circ$
- ✓$80^\circ$
- D$160^\circ$
✓
Answer
Correct option: C.
$80^\circ$
If the angle is $x^\circ ,$ then by hypothesis
$\Rightarrow x^\circ = 8 (90^\circ - x^\circ )$
$\Rightarrow 720 = 8x^\circ + x^\circ $
or $ 9x^\circ = 720^\circ $
$\therefore x = 80^\circ $
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