The measure of each angle are 41 degrees, 82 degrees and 57 degrees.
What is the angle sum property?
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
We have given three angles of a triangle ABC
Angle A = x + 10
Angle B = 2x + 20
Angle C = 2x - 5
Therefore, The sum of the angles of the triangle is 180.
(x+10) + (2x+20) + (2x-5) = 180
5x + 30 -5 = 180
5x + 25 = 180
5x = 180 -25
5x = 155
x = 31
Now, the measure of each angle.
Angle A = x + 10 = 31 + 10 = 41 degrees
Angle B = 2x + 20 = 82 degrees
Angle C = 2x - 5 = 57 degrees
Learn more about the triangles;
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