Two supplementary angles differ by 34 find the angles

Last updated: 2022/11/12 at 6:06 AM

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Two supplementary angles differ by 34 find the angles

Answer:

Let the smaller angle be $x^{o}$
Since the two angles differ by $34^{o}$ , the bigger angle $= x + 34^{o}$
Since the sum of the supplementary angles is $180^{o}$
We have $x + (x + 34) = 180^{o}$
$2 x + 34 = 180^{o}$
$2 x = 180 - 34 = 146^{o}$
$x = 2146 ^{o} = 73^{o}$
Therefore smaller angle $= x = 73^{o}$
Bigger angle $= x + 34 = 73 + 34 = 107^{o}$

Two supplementary angles differ by 34 find the angles

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Rebecca November 12, 2022 November 12, 2022

By Rebecca

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Rebecca is an Independent content writer for breldigital, She writes content on any given topic. She loves to write a case study article or reviews on a brand, Be it any topic, she nails it

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