Question

angle relationships – quiz (5 questions)

1. complementary angles

two angles are complementary. one angle measures 35°. what is the measure of the other angle?

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles are two angles whose sum is \(90^\circ\). Let the measure of the unknown angle be \(x\). We know one angle is \(35^\circ\), so we can set up the equation \(35^\circ + x = 90^\circ\).

Step2: Solve for the unknown angle

To find \(x\), we subtract \(35^\circ\) from both sides of the equation: \(x = 90^\circ - 35^\circ\). Calculating the right - hand side, we get \(x = 55^\circ\).

Answer:

The measure of the other angle is \(55^\circ\).