Question

find the measure of the complement of a 20° angle. the measure of the complement of a 20° angle is □°. (simplify your answer. type a whole number or a decimal.)

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles are two angles whose sum is \(90^\circ\). So, if we let the measure of the complement of the \(20^\circ\) angle be \(x\), then we have the equation \(x + 20^\circ=90^\circ\).

Step2: Solve for \(x\)

To find \(x\), we subtract \(20^\circ\) from both sides of the equation: \(x = 90^\circ - 20^\circ\).
Calculating the right - hand side, we get \(x = 70^\circ\).

Answer:

\(70\)