The sum of 2 angles of a triangle equals 70 degrees, one angle is 10 degrees greater

The sum of 2 angles of a triangle equals 70 degrees, one angle is 10 degrees greater than the other find all the angles of the triangle.

Let the first angle be x °, then the second angle is (x + 10) °. Knowing that the sum of these angles is 70 °, we will compose the equation.

x + x + 10 = 70;

Move the positive number 10 to the right side of the equation, changing the sign of the number to the opposite, that is, negative.

2x + 10 = 70;

2x = 70 – 10;

Subtract on the right side of the equation.

2x = 60;

x = 60/2;

x = 30 °.

The second angle is 10 + 30 = 40 °.

Knowing that the sum of all the angles of the triangle is 180 °, we calculate the degree measure of the third angle.

180 – 40 – 30 = 110 °.

Answer: 110 °.