Question

1. consider the following figure.

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

Explanation:

Step1: Identify supplementary angle

The angle supplementary to $105^\circ$ is $180^\circ - 105^\circ = 75^\circ$.

Step2: Set equal to $(3x-15)^\circ$

$\boldsymbol{3x - 15 = 75}$

Step3: Solve for $x$

Add 15 to both sides: $3x = 75 + 15 = 90$
Divide by 3: $x = \frac{90}{3} = 30$

Answer:

$x = 30$