One angle of a parallelogram is 15 degrees greater than another angle. Find the angles of the parallelogram.
| November 22, 2020 | education
In a parallelogram, opposite angles are equal in pairs, and adjacent angles add up to 180 degrees.
Let ABCD be a parallelogram, then A = C, D = B, A + D = B + C = 180
Let’s make the equation:
x + (x + 15) = 180
2x = 165
x = 82.5 (we found 2 angles)
82.5 + 15 = 97.5
Answer: the angles are 82.5; 82.5; 97.5; 97.5
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