Find the angles of a parallelogram if the bisector of one of the angles makes an angle of 48 ° with the base.

univerkov | December 5, 2020 | education

The bisector in a parallelogram cuts off an isosceles triangle from it, which means the angles at the base will be 48 °. This means the third corner of the triangle, i.e. one of the angles of the parallelogram is 180 – 48 * 2 = 180 – 96 = 84 °. Then the second angle will be 180 – 84 = 96 °. Because it is a parallelogram, the opposite angles are equal.
Answer: 2 angles of 84 °, 2 angles of 96 °.

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