Question

find the measure of each angle.
8x° = □°
2x° = □°
(type integers or fractions. simplify your answers.)

Explanation:

Step1: Set up the equation

The two angles \(8x^\circ\) and \(2x^\circ\) form a right angle, so their sum is \(90^\circ\). Thus, we have the equation \(8x + 2x=90\).

Step2: Solve for x

Combine like terms: \(10x = 90\). Then divide both sides by 10: \(x=\frac{90}{10}=9\).

Step3: Find \(8x^\circ\)

Substitute \(x = 9\) into \(8x\): \(8\times9 = 72\). So \(8x^\circ=72^\circ\).

Step4: Find \(2x^\circ\)

Substitute \(x = 9\) into \(2x\): \(2\times9 = 18\). So \(2x^\circ=18^\circ\).

Answer:

\(8x^\circ=\boxed{72}^\circ\)
\(2x^\circ=\boxed{18}^\circ\)