Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2. what is the supplement of /a if m/a = 78°? 102° 78° 39° 12°

Question

  1. what is the supplement of /a if m/a = 78°?

102°
78°
39°
12°

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles add up to \(180^{\circ}\). Let the supplement of \(\angle A\) be \(x\). Then \(m\angle A + x=180^{\circ}\).

Step2: Substitute the given value of \(m\angle A\)

Given \(m\angle A = 78^{\circ}\), we substitute into the equation: \(78^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(78^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 78^{\circ}\).

$$x = 102^{\circ}$$

Answer:

\(102^{\circ}\)