Question

note: figure is not drawn to scale. if the measure of \\( \angle z \\) equals \\( 139 ^ { \circ } \\), then what is the measure of \\( \angle t \\)? a. \\( 139 ^ { \circ } \\) b. \\( 49 ^ { \circ } \\) c. \\( 41 ^ { \circ } \\) d. \\( 109 ^ { \circ } \\)

Explanation:

Step1: Use the linear - pair relationship

Angles \( \angle T \) and \( \angle Z \) form a linear pair. The sum of angles in a linear pair is \( 180^{\circ}\). So, \( \angle T+\angle Z = 180^{\circ}\).

Step2: Solve for \( \angle T \)

Given \( \angle Z=139^{\circ}\). Substitute into the equation: \( \angle T=180^{\circ}-\angle Z\). Then \( \angle T = 180^{\circ}-139^{\circ}\).

$$
LATEXBLOCK0
$$

Answer:

C. \(41^{\circ}\)