Question

what is the value of y?

Explanation:

Step1: Use the property of isosceles triangle

Since the two sides of the triangle are marked as equal (by the tick marks), the triangle is isosceles. In an isosceles triangle, the base - angles are equal.

Step2: Apply the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the two equal angles be \(y\). We know one angle is \(27^{\circ}\). So, \(y + y+27^{\circ}=180^{\circ}\), which simplifies to \(2y=180^{\circ}- 27^{\circ}\). Then \(2y = 153^{\circ}\), and \(y=\frac{153^{\circ}}{2}=76.5^{\circ}\)

Answer:

\(76.5\)