Question

angle ∠abc is complementary to angle ∠ dbc. what is the measure of the missing degree?

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to \(90^{\circ}\). Let \(\angle ABC = 19^{\circ}\) and \(\angle DBC=x\). Then \(19^{\circ}+x = 90^{\circ}\).

Step2: Solve for \(x\)

Subtract \(19^{\circ}\) from both sides of the equation: \(x=90^{\circ}-19^{\circ}\).

$$x = 71^{\circ}$$

Answer:

\(71^{\circ}\)