Question

question
find the value of y.

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Find the measure of \(\angle V\)

Since the two triangles are congruent (by the markings of equal angles), \(\angle O=\angle V = 65^{\circ}\).

Step3: Calculate \(y\)

In \(\triangle RVT\), \(\angle R = 45^{\circ}\), \(\angle V=65^{\circ}\). Using the angle - sum property \(y + 45+65=180\).

$$y=180-(45 + 65)$$

$$y=180 - 110$$

Answer:

\(y = 70\)