Question

question 20 (5 points)
find the complement of an angle that measures 78°.
a) 22°
b) 102°
c) 12°
d) 42°

Explanation:

Step1: Recall the definition of complementary angles.

Complementary angles are two angles whose sum is \(90^\circ\). So, if we let the complement of the angle \(78^\circ\) be \(x\), then we have the equation \(x + 78^\circ=90^\circ\).

Step2: Solve for \(x\).

To find \(x\), we subtract \(78^\circ\) from both sides of the equation: \(x = 90^\circ - 78^\circ\).
Calculating the right - hand side, \(90 - 78 = 12\), so \(x = 12^\circ\).

Answer:

C) \(12^\circ\)