Question

is im2b unit 7 task 04

1. consider the following figure.

$(3x-15)^\circ$
$(y + 25)^\circ$
$105^\circ$
5a solve for $x$.

Explanation:

Step1: Identify supplementary angle pair

$(3x-15)^\circ$ and $105^\circ$ are same-side interior angles, so they are supplementary.
$ (3x - 15) + 105 = 180 $

Step2: Simplify the equation

Combine constant terms on the left.
$ 3x + 90 = 180 $

Step3: Isolate the term with x

Subtract 90 from both sides.
$ 3x = 180 - 90 $
$ 3x = 90 $

Step4: Solve for x

Divide both sides by 3.
$ x = \frac{90}{3} $

Answer:

$x = 30$