Angle 4 is 20 degrees greater than angle 3. Find all corners.
September 1, 2021 | education
| Let angle 3 be x degrees, then angle 4 is x + 20 degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 20 = 180;
x + x = 180 – 20;
x + x = 160;
x * (1 + 1) = 160;
x * 2 = 160 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 160: 2;
x = 80 degrees – angle 3;
80 + 20 = 100 degrees – angle 4.
Angle 3 = Angle 1 = 80 degrees;
angle 2 = angle 4 = 100 degrees.
Answer: 80 degrees; 80 degrees; 100 degrees; 100 degrees.
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