Question

unit #2 - warmup problem #2: (a) using the three points plotted below, draw ∠jlk. (b)if x = 17 and m∠jlk = 4x + 46, algebraically find the measure of ∠jlk. (c) what type of angle is ∠jlk?

Explanation:

Step1: Substitute x value

Substitute $x = 17$ into $m\angle JLK=4x + 46$.
$m\angle JLK=4\times17+46$

Step2: Calculate the measure

First, calculate $4\times17 = 68$. Then, $68+46=114$.
$m\angle JLK = 114^{\circ}$

Step3: Determine angle type

Since $90^{\circ}<114^{\circ}<180^{\circ}$, it is an obtuse - angle.

Answer:

(b) $114^{\circ}$
(c) Obtuse - angle