The value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.
<h3>What is triangle angle sum theorem?</h3>
According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
The angle XYZ has an angle y which is twice the size of x. Thus,
2x=y
The third angle is 20 degree, which is Z. Thus,
z=20
By the triangle angle sum theorem,
x+y+x=180
x+2x+20=180
3x=180-20
x=160/3
x=53.33
The measure of angle y is,
y=2×53.33
y=106.66
Thus, the value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.
Learn more about the triangle angle sum theorem here;
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