Question

4 find measures of complementary, supplementary, vertical, and adjacent angles vzu

an angle measures 176° more than the measure of its supplementary angle. what is the measure of each angle?

° and °

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Explanation:

Step1: Set up the equation

Let the measure of the supplementary angle be \(x\). Then the measure of the other angle is \(x + 176^{\circ}\). Since supplementary angles sum to \(180^{\circ}\), we have the equation \(x+(x + 176^{\circ})=180^{\circ}\).

Step2: Solve the equation

Simplify the left - hand side: \(2x+176^{\circ}=180^{\circ}\).
Subtract \(176^{\circ}\) from both sides: \(2x=180^{\circ}-176^{\circ}\), so \(2x = 4^{\circ}\).
Divide both sides by 2: \(x=\frac{4^{\circ}}{2}=2^{\circ}\).

Step3: Find the other angle

The other angle is \(x + 176^{\circ}\). Substitute \(x = 2^{\circ}\), we get \(2^{\circ}+176^{\circ}=178^{\circ}\).

Answer:

\(2\) and \(178\)