The right angle is divided into 3 parts so that the value of 2 angles is 10 degrees more than 3 and 10

The right angle is divided into 3 parts so that the value of 2 angles is 10 degrees more than 3 and 10 degrees less than 1 angle. Find the degree measure from the corners.

1) Determine what is the degree measure of the second angle, if we know that the first angle is 10 ° more, and the third one is 10 ° less. And we know that all angles add up to 90 °. We draw up an equation, where:

X is the second angle;

X + 10 – first corner;

X – 10 – third corner;

90 is the sum of degrees.

X + X + 10 + X – 10 = 90;

3X = 90 – 10 + 10;

3X = 90;

X = 90/3;

X = 30 °.

2) Determine what degree measure the first angle is, if it is 10 ° more.

30 + 10 = 40 °.

3) Find out what degree the third corner is.

30 – 10 = 20 °.

Answer: the first angle is 40 °, the second is 30 °, and the third is 20 °.