Question

Select the correct answer.

The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m`/_ABC`?

Answer 1

check the picture below.

now, if we split that triangle like so with that red line, we can use the right-triangle there, to get θ.

`\bf tan(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{adjacent}{3}}\implies tan(\theta )=1\implies tan^(-1)(\theta )=tan^(-1)(1)\implies \measuredangle \theta =\cfrac{\pi }{4}`