Question

The ratio between two supplementary angles is 3 : 2. Find the measure of the two
angles. Also find the double of the smaller angle.

Answer 1

Answer:

let the first angle be 3x

____________= 2x

3x+2x = 180

5x = 180

x = 180/5

x = 36

3x= 3×36=108

2x= 2×36= 72

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Answer 2

Step-by-step explanation:

$Let \: the \: measures \: of \: the \: given \: angles \: be \:  (3x)  \: and  \: (2x)∘ \:  respectively . \\ </p><p>Since \: the \: given \: angles \: are \: supplementary, \: we \: have \\ 3x+2x=180⇒5x=180⇒x=363x+2x=180⇒5x=180⇒x=36. \\ </p><p>∴ the \: measures \: of \: the \: given \: angles \: are \:  (3×36)∘  \: and \:  (2×36)∘ \:  i.e.,  \: 108∘  \: and  \: 72∘ \\ </p><p>$

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