One of the adjacent corners is equal to 80% of the other, find the larger of these corners.

Let one of the adjacent angles be x degrees, then the second angle is 0.8x degrees (to find 80% of x, you need to convert the percentage to a fraction; 80% = 0.8; to find a fraction of a number, you need to multiply this number by a fraction ). The sum of adjacent angles is (x + 0.8x) degrees or 180 ° (according to the adjacent angle theorem: The sum of adjacent angles is 180 °). Let’s make an equation and solve it.

x + 0.8x = 180;

1.8x = 180;

x = 180: 1.8;

x = 10 ° – one angle;

0.8x = 100 * 0.8 = 80 ° is the second angle.

Answer. The largest of the adjacent angles is 100 °.