MCQ
The measure of an angle is five times its complement. The angle measures.
- A$25^\circ$
- ✓$75^\circ$
- C$65^\circ$
- D$35^\circ$
✓
Answer
Correct option: B.
$75^\circ$
Let the measure of the required angle be $x^\circ$
Then, the measure of its complement will be $(90 − x)^\circ$
Therefore, $x = 5 (90 - x)$
$\Rightarrow x = 450 - 5x$
$\Rightarrow 6x = 450$
$\Rightarrow x = 75^\circ $.
Then, the measure of its complement will be $(90 − x)^\circ$
Therefore, $x = 5 (90 - x)$
$\Rightarrow x = 450 - 5x$
$\Rightarrow 6x = 450$
$\Rightarrow x = 75^\circ $.
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