Question

in the diagram, m∠acb = 59. find m∠ace. notice that ∠ace and ∠acb form a linear pair. use this information and the definition of supplementary angles to find m∠ace. try again. ok

Explanation:

Step1: Recall linear - pair property

Linear - pair angles are supplementary, i.e., the sum of the measures of two angles in a linear - pair is 180°.

Step2: Set up the equation

Let \(m\angle ACE=x\) and \(m\angle ACB = 59^{\circ}\). Then \(x + 59^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract 59° from both sides of the equation: \(x=180^{\circ}-59^{\circ}\).
\(x = 121^{\circ}\)

Answer:

\(121^{\circ}\)