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 °.
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