Question

4. If an angle is 30° more than one half of its complement, find the measure of the
angle.​

Answer 1

Answer:

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The measure of the angle is 50°

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Given:-

• Angle 30° more than one half of its complement

Find:-

• Measure of the angle???

Solution:-

Let take the angle as 'x'

Then the complement will be (90-x)

${ \boxed{ \sf{Required \: Angle = 30° + \frac{complement}{2} }}}$

${ \to{x = 30 + \frac{(90 - x)}{2} }}$

${ \to{x + \frac{x}{2} = 30 + 45 }}$

${ \to{ \frac{3x}{2} = 75 }}$

${ \to{3x = 150}}$

${ \to{x = \frac{150}{3} }}$

${ \to{x = 50}}$

Therefore the measure of the angle is 50°