The diagonal AC of the parallelogram ABCD makes angles of 25 ° and 30 ° with its sides.
| September 24, 2021 | education
The diagonal AC of the parallelogram ABCD makes angles of 25 ° and 30 ° with its sides. Find the larger angle of the parallelogram.
1. Let’s find the value of the angle BAD, since it is known how many degrees are the angles BAC and CAD.
25 + 30 = 55 °.
2. Find out what the sum of the other two angles of the parallelogram is equal to.
360 – 55 * 2 = 250 °.
3. Let’s calculate how many degrees the obtuse angle is.
250/2 = 125 °.
Answer: 125 degrees.
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