Let us introduce the notation:
Let one part be x, then the first angle of the triangle is 2 * x = 2x, and the second angle of the triangle will be 1 * x = x.
Let’s compose and solve the equation:
As you know, the sum of the angles of a triangle is 1800, so
2x + x + 540 = 180,
3x + 540 = 180,
3x = 1800 – 54,
3x = 126,
x = 126: 3,
x = 42.
This means that the first angle of the triangle is 42.
Find the degree measure of the second unknown angle of the triangle:
2 * 42 = 84.
Answer: The unknown angles of the triangle are 42 and 84.
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