Question

1. The difference in the measures of two complementary angles is 12˚. Find the measures of the angles.​

Answer 1

$\large\boxed{\fcolorbox{red}{Yellow}{hi~ mate ~ !!}}$

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Difference in the measure of two complementary angle is 12°

$\maltese \: \tt\purple{to \: find : } \maltese$

Measure of angels.

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Let the angle be x.

Other angle be x + 12

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Complementary angle is 90°

__________________________....

$: \implies \sf \green{x + x + 12 = 90 \degree} \\ : \implies \sf{2x + 12 = 90 \degree} \\ : \implies \sf{2x = {90 \degree} - {12} } \\ : \implies \sf{2x = 78} \\ : \implies \sf{x = \frac{78}{2} } \\ \ \therefore\sf \green{x = 39} \\ \\ \sf \pink{the \: measure \: of \: the \: angles \: are : } \\ \sf{x = 39 \: \: and \: \implies\:x + 12 = 39 + 12 = 51}$

Answer 2

Answer:

$\huge\bigstar\fcolorbox{purple}{aqua}{\tt\pink{Answer}}\bigstar$

Let the angle be x

Let the other angle be (x+12)

$\sf{We\: know\:that,}$

$\sf{Total\:angle\:of\: complementary\: Angle - 90°}$

$\longrightarrow\sf{ x + x + 12 = 90°}$

$\longrightarrow\sf{ 2x + 12 = 90°}$

$\longrightarrow\sf{ 2x = 90° - 12° }$

$\longrightarrow\sf\pink{ 2x = 78° }$

$\longrightarrow\bf\pink{\fbox{ x = \dfrac{78°}{2} }}$

$\longrightarrow\sf{\fbox{ x = 39° }}$

$\sf{Other\:angle\:will\:be =(x+12)}$

$\implies\sf{ 39 + 12}$

$\implies\sf\green{ 51° }$

Hope it will be helpful ✌️