Question

the measure of an angle is 63.4°. what is the measure of its complementary angle?

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles add up to 90°. Let the given angle be $\theta = 63.4^{\circ}$, and the complementary - angle be $x$. Then $\theta+x = 90^{\circ}$.

Step2: Solve for the complementary angle

We can find $x$ by subtracting the given angle from 90°. So $x=90^{\circ}-\theta$. Substitute $\theta = 63.4^{\circ}$ into the formula: $x = 90 - 63.4=26.6^{\circ}$.

Answer:

$26.6^{\circ}$