The measure of an angle which is its own complement isa 30-b 60-c 90-d 45-

Let the required angle be x. Now, complementary of the required angle = 90∘ nbsp; minus; nbsp;x Then, x=90 #176; x #8658;x=90 #176; x #8658;2x=90 ...

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Standard IX

Mathematics

Angles and Types of Angles

The measure o...

Question

The measure of an angle which is its own complement is
(a) $30^{\circ}$
(b) $60^{\circ}$
(c) $90^{\circ}$
(d) $45^{\circ}$

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Solution

Let the required angle be $x$ .
Now, complementary of the required angle $= 90^{\circ} - x$
Then, According to the question, we have
$x = 90^{\circ} - x$
$\Rightarrow x + x = 90^{\circ}$
$\Rightarrow 2 x = 90^{\circ}$
$\Rightarrow x = 45^{\circ}$
Hence, the correct answer is option $(d)$ .

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Similar questions

Q. Mark (✓) against the correct answer
An angle is its own complement. The measure of the angle is

(a) 30°
(b) 45°
(c) 90°
(d) 60°

The sum of an angle and one third of its supplementary angle is $90^{\circ}$ . The measure of the angle is
(a) $135^{\circ}$
(b) $120^{\circ}$
(c) $60^{\circ}$
(d) $45^{\circ}$

Q. If angles of a linear pair are equal, then the measure of each angle is
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Q. The supplement of an angle is six times its complement. The measure of this angle is
(a) 36°
(b) 54°
(c) 60°
(d) 72°

Choose the correct option:

The measure of an angle which is 5 times its supplement is ___________

A. 30°

B. 60°

C. 120°

D. 150°

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The measure of an angle which is its own complement is(a) 30∘(b) 60∘(c) 90∘(d) 45∘

Let the required angle be x.Now, complementary of the required angle =90∘−xThen, According to the question, we havex=90∘−x⇒x+x=90∘⇒2x=90∘⇒x=45∘Hence, the correct answer is option (d).

The measure of an angle which is its own complement is
(a) $30^{\circ}$
(b) $60^{\circ}$
(c) $90^{\circ}$
(d) $45^{\circ}$

Let the required angle be $x$ .
Now, complementary of the required angle $= 90^{\circ} - x$
Then, According to the question, we have
$x = 90^{\circ} - x$
$\Rightarrow x + x = 90^{\circ}$
$\Rightarrow 2 x = 90^{\circ}$
$\Rightarrow x = 45^{\circ}$
Hence, the correct answer is option $(d)$ .