The value of x is 11 1/2 OR 11.5
Calculating the measure of angles
From the question, we are to determine the value of x
In the given diagram, we have two isosceles triangles
Since base angles of isosceles triangles are equal,
Then, each of the base angles of the isosceles triangle is 68°
Then, we can write that
m ∠2 + 68° + 68° = 180° (Sum of angles in a triangle)
From the given information,
m ∠2 = 4x - 2
Then,
4x -2 + 68° + 68° = 180°
4x = 180 - 68 - 68 +2
4x = 46
x = 46/4
x = 11 1/2 OR 11.5
Hence, the value of x is 11 1/2 OR 11.5
Learn more on Calculating the measure of angles here: https://brainly.com/question/11884412
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