Question

geometry - honors - 9(a.c)10(a) - 2025 - 2026 snapshot prep 1 what is the value of y? a. 83 b. 89 c. 96 d. 97

Explanation:

Step1: Recall triangle - angle sum property

The sum of interior angles of a triangle is 180°. In the left - hand triangle, we can find the third angle. Let the third angle of the left - hand triangle be \(z\). Then \(z=180-(46 + 51)\).
\[z=180-(46 + 51)=180 - 97=83^{\circ}\]

Step2: Use vertical angles property

The angle \(y\) and the angle \(z\) are vertical angles. Vertical angles are equal. So \(y = z\). Since \(z = 83^{\circ}\), then \(y=83^{\circ}\).

Answer:

A. 83