QUESTION IMAGE
Question
- what is the supplement of /a if m/a = 78°?
102°
78°
39°
12°
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: \(x=180^{\circ}- 78^{\circ}\).
$$x = 102^{\circ}$$
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\(102^{\circ}\)