Question

The angle XYZ has and angle y which is twice the size of x. If the third angle is 20 degree what is the value of x and y

Answer 1

The value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

What is triangle angle sum theorem?

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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