Question

Find the acute angle between the lines having slopes 2/3 and 4/5.
(with step by step explanation).

Answer 1

Answer:

Let us consider the acute angles between the lines to be Ф.

If the two slopes are considered as m and m'.

So, tan Ф = (m - m')/[(1 + mm')]

Here, m = -2 and m' = 3

So, tan Ф = (-2 - 3)/[(1 - 6)] = -5/-5 = 1

Ф = tan⁻¹ (1)

= 45°

This is the subtended angle.

Answer 2

Answer:

Refer the attachment

Hope it helps