Question

if an angle is 30 degree more than one half of its compliment find the measure of the angle

Answer 1

Hey

Here is your answer,

Let the angle be x
Complement of x is (90° – x)
Given x = 1/2 × (90° – x) + 30°
⇒ 2x = (90° – x) + 60°
⇒ 3x = 150°
∴ x = 50°

Hope it helps you!

Answer 2

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Question

the measure of one angle is 12 degree more than half the measure of its compliment, find measures of two angles

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Answer

${ \sf{ \underline{let \: us \: consider \: : - }}}$

let us consider:−

Angle: x

Complement: 90-x

$\large{ \underline{ \sf{solution \: : - }}}$

solution:−

$\sf \:$Equation:Equation:

$➺ \: \sf \: x$ = 90-x+12➺x=90−x+12

$➺\: \sf \:$ 2x = 102➺2x=102

$\boxed{\bold{ x = 51 degrees}}$

x=51degrees

${\boxed{ \bold{90-x = 39 \: degrees}}}$

90−x=39degrees