Question

2.4 | parallel & perpendicular | find the value of x. x =

Explanation:

Step1: Set up the equation

Since the two angles \((x - 15)^{\circ}\) and \((x + 5)^{\circ}\) are complementary (they form a right - angle, so their sum is \(90^{\circ}\)), we have the equation \((x - 15)+(x + 5)=90\).

Step2: Simplify the left - hand side

Combine like terms: \(x-15+x + 5=(x+x)+(-15 + 5)=2x-10\). So the equation becomes \(2x-10 = 90\).

Step3: Solve for \(x\)

Add \(10\) to both sides of the equation: \(2x-10+10=90 + 10\), which gives \(2x=100\). Then divide both sides by \(2\): \(x=\frac{100}{2}\).

Answer:

\(x = 50\)