Question

the measure of an angle is 102°. what is the measure of its supplementary

Explanation:

Step1: Recall supplementary angles rule

Supplementary angles sum to \(180^\circ\). Let the supplementary angle be \(x\). So, \(102^\circ + x = 180^\circ\).

Step2: Solve for \(x\)

Subtract \(102^\circ\) from both sides: \(x = 180^\circ - 102^\circ\). Calculate the difference: \(x = 78^\circ\).

Answer:

\(78^\circ\)