Question

The difference in measures of two complementary angle is 34 degree. Find the measure of the angles​

Answer 1

${\huge{\boxed{\tt{\color {blue}{❥ ᴀɴsᴡᴇʀ}}}}}$

${ \large{ \bold{ \red{ \ Let \: the \: measure \: of \: the \: angle \: be \: (x)}}}} \\ \\ </p><p>{ \large{ \bold{ \red{ \ then, \: complementary \: angle \: = (90 - x) }}}}\\ \\ </p><p></p><p>{ \large{ \bold{ \ \: According \: to \: the \: question,}}}$

$☞ \: (90 - x) - x = 34 \\ ☞ \: 90 - 2x = 34 \\ ☞ \: - 2x = 34 - 90 \\ ☞ \: - 2x = - 56 \\ ☞2x = 56 \\ ☞x = \frac{56}{2} \\ ☞{ \large{ \bold{ \green{ \ x = 28 \: \: degree}}}} \\complementary \: angle = (90 - x) \\ = 90 - 28 \\ { \large{ \bold{ \green{ \ = 62 \: degree}}}}$

${ \huge{ \ \: ANSWER:-[28 \: \: and \: 62]}}$

$\huge\mathcal{\fcolorbox{lime}{black}{\pink{ANSWERED \: BY:- ADESH}}}$

Answer 2

Answer:

Let the smaller angle be x

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Since the two angles differ by 34

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, the bigger angle =x+34

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Since the sum of the supplementary angles is 180

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We have x+(x+34)=180

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2x+34=180

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2x=180−34=146

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x=

2

146

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=73

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Therefore smaller angle =x=73

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Bigger angle =x+34=73+34=107

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Step-by-step explanation:

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