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Stella [2.4K]
3 years ago
14

Find the acute angle formed by line 2y=x+1​

Mathematics
1 answer:
givi [52]3 years ago
6 0

Answer:

26.57°

Step-by-step explanation:

2y = x + 1 \\ y =  \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m =  \frac{1}{2}  \\  \because \:  \tan \theta = m \\  \therefore \: \tan \theta = \frac{1}{2}  = 0.5 \\ \therefore \:  \theta =  {tan}^{ - 1} (0.5) \\\therefore \:   \theta =  {tan}^{ - 1} ( \tan \: 26.565051177 \degree)  \:  \\  \\  \huge \red{ \boxed{\therefore \:   \theta = 26.57 \degree}}

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