# One of the corners of the parallelogram is 26 degrees larger than the other. Find the corners adjacent to one side.

July 25, 2021 | education

| Angles in a parallelogram adjacent to one side are internal one-sided. The sum of the inner one-sided angles is 180 degrees.

Let one angle be x degrees, then the second angle is (x + 26) degrees. The sum of these angles is (x + (x + 26)) degrees or 180 degrees. Let’s make an equation and solve it.

x + (x + 26) = 180;

x + x + 26 = 180;

2x + 26 = 180;

2x = 180 – 26;

2x = 154;

x = 154: 2;

x = 77 – first corner;

x + 26 = 77 + 26 = 103 is the second corner.

Answer. 77; 103.

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