Question

Hi there! Here are only two questions that I need to know.

i) Find the Angle which is equal to its complement.

ii) Find the Angle which is equal to its supplement.


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Answer 1

Answer:

45 as complement and 90 as supplement

Step-by-step explanation:

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Answer 2

$\huge \bf \underline \red{ \:A nswer}$

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$\huge \implies \sf\underline{ \: Q uestion}$

(1) Find the Angle which is equal to its complement.

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$\huge \implies \sf \underline{ \:A nswer}$

$\rm{let \: one \: of \: the \: two \: equal \: complemantary \: be \: x}$

$\bf{ \boxed{ \underline{ \blue{ \tt{complementary \: angles \: = 90 \: }}}}}$

$\tt \implies \pink{x + x = 90}$

$\tt \implies \green{2x = 90}$

$\tt \implies \blue{ x= \dfrac{90}{2}}$

$\tt \implies \purple{ = 45}$

$\bf \huge{ \boxed{ \underline \red{ \tt{ = 45 \: }}}}$

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$\huge \implies \sf\underline{ \: Q uestion}$

(2) Find the Angle which is equal to its supplement.

$\huge \implies \sf \underline{ \:A nswer}$

$\rm{let \: x \: be \: the \: 2 \: equal \: angles \: of \: supplementary}$

$\bf{ \boxed{ \underline{ \blue{ \tt{supplementary \: angles \: = 180 \: }}}}}$

$\tt \implies \orange{x + x = 180}$

$\tt \implies \red{2x = 180}$

$\tt \implies \pink{x = \dfrac{180}{2} }$

$\tt \implies \blue{x = 90}$

$\bf \huge{ \boxed{ \underline \red{ \tt{ = 90 \: }}}}$