Question

what is the value of y?

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for the given triangle with angles \(y^{\circ}\), \(68^{\circ}\), and \(63^{\circ}\), we have the equation \(y + 68+63=180\).

Step2: Solve the equation for \(y\)

First, simplify the left - hand side of the equation: \(68 + 63=131\). Then the equation becomes \(y+131 = 180\).
Subtract 131 from both sides of the equation: \(y=180 - 131\).
Calculate \(180-131 = 49\).

Answer:

\(49\)