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: Use angle - sum property of a triangle

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

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