In parallelogram ABCD, the angle ABC is 123 degrees Find the angle DAC.
| August 14, 2021 | education
In a parallelogram, the opposite angles are equal, so the angle ADC = angle ABC = 123 °.
The sum of the angles of a parallelogram is 360 °.
<BAD + <BCD = 360 ° – (<ABC + <CDA) = 360 ° – 2 * 123 ° = 360 ° – 246 ° = 114 °;
<BAD = <BCD – opposite angles;
<BAD = <BCD = 114 °: 2 = 57 °.
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