Question

1. find the value of x and y

Explanation:

Step1: Use the property of isosceles triangle

Since the triangle is isosceles (two sides are equal), the base - angles are equal. So, \(3x - 11=2x + 11\).

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Step2: Find the value of \(y\)

First, find the measure of the base - angles. Substitute \(x = 22\) into \(3x-11\): \(3\times22-11=66 - 11=55^{\circ}\).
The sum of angles in a triangle is \(180^{\circ}\). So, \(55+55 + 2y=180\).

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Answer:

\(x = 22\) and \(y = 35\)