Question

6
If an angle is half of its complement, then the measure of the LARGER angle will be ​

Answer 1

Answer:

angles will be 120 and 60

Answer 2

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If an angle is half of its complement, then the measure of the larger angle will be ?

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An angle is half of its complement.

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The larger angle.

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Let the larger angle be $x$°.

So, smaller angle = $(\frac{1}{2}x)$° = $\frac{x}{2}$°

We know that:

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According to conditon,

$x+\frac{x}{2} =90$

⇒ $\frac{(2x+x)}{2} =90$

⇒ $\frac{3x}{2} =90$

⇒ $3x=90\times{2}$

⇒ $3x=180$

⇒ $x=\frac{180}{3}$

⇒ $x=60$

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$x=60$

Smaller angle $=\frac{x}{2} =\frac{60}{2} =30$°

Larger angle $=x=60$°

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The  measure of the larger angle will be $60$°.

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