find the values of x and y
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The first step to solve this problem is to formulate equations. Since the triangle has two equal sides, you can conclude that the angles adjacent to the sides are equal which means:
3x – 11 = 2x + 11
We can now solve for the value of x:
3x – 2x = 11 + 11
x = 22
The sum of the angles of a triangle is 180 so we can formulate another equation:
3x – 11 + 2x + 11 + 2y = 180
5x + 2y = 180
Remember that the value of x is 22 so you should substitute the value of x:
5(22) + 2y = 180
110 + 2y = 180
2y = 180 – 110
2y =70
y = 35