Question

find the acute angle between the lines having slopes -✓3 and ✓3. ​

Answer 1

Answer:

0

Step-by-step explanation:

Slopes are equal

So the angle between them must be 0

Answer 2

Step-by-step explanation:

Let $\tt{m_1=-\sqrt{3}}$ And $m_2=\sqrt{3}$

Let $\theta$ be the acute angle between them.

$\red{ \bf \therefore \: \: \tan \theta=\left|\frac{m_{1}-m_{2}}{1+m_{1} m_{2}}\right|}$

$\tt \pink{\therefore \: \: \tan \theta=\left|\frac{ - \sqrt{3} - \sqrt{3} }{1+( - \sqrt{3} ) ( \sqrt{3}) }\right|}$

$\tt \blue{ \therefore \: \: \tan \theta=\left|\frac{ - 2 \sqrt{3} }{1 - \sqrt{9} }\right|}$

$\tt \orange{ \therefore \: \: \tan \theta=\left|\frac{ \cancel{- 2 }\sqrt{3} }{ \cancel{ - 2}}\right|}$

$\tt \purple{ \therefore \: \: \tan \theta=\left| \sqrt{3} \right|}$

$\red{\xcancel{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{\boxed{ \boxed{ \boxed{ \boxed{ \tt \green{ \therefore \: \: \theta = 60 {}^{ \circ} }}}}}}}}}}}}}}}}}}}}}}}}}}}}}$