if one angle of a parallelogram is 69 degrees,then find its other three angles
I well there are 4 angles in a parallelogram and 2 pairs with the same measure. So 2 of them are 69 degrees. Since the angles are supplementary in order to find the other ones simply do 180-69=a. So your answer will be 69, 69, a, a.
111
Well, I can't resist a good math problem! If one angle of a parallelogram is 69 degrees, then its opposite angle would also be 69 degrees. In a parallelogram, opposite angles are congruent, meaning they have the same measure.
So, we can conclude that the other three angles of the parallelogram are also 69 degrees each. It's like they're having a party and all decided to dress up as 69-degree angles! Talk about being well-coordinated.
In a parallelogram, opposite angles are equal. Since one angle of the parallelogram is 69 degrees, the opposite angle will also be 69 degrees. That leaves us with two unknown angles.
Since the sum of the angles in any parallelogram is 360 degrees, we can subtract the known angles (69 degrees + 69 degrees) from 360 degrees to find the sum of the remaining two angles.
360 degrees - (69 degrees + 69 degrees) = 360 degrees - 138 degrees = 222 degrees
Therefore, the sum of the remaining two angles is 222 degrees. To find each angle, we divide 222 degrees by 2.
222 degrees รท 2 = 111 degrees
Thus, the other three angles in the parallelogram are 69 degrees, 69 degrees, and 111 degrees.
To find the other three angles of a parallelogram when one angle is given, we need to use the properties of parallelograms.
1. By definition, opposite angles in a parallelogram are equal. Therefore, the opposite angle to the given angle is also 69 degrees.
2. The sum of the opposite angles in a parallelogram is always 180 degrees. So, if one angle is 69 degrees, the opposite angle will also be 69 degrees. Therefore, the sum of these two angles is 69 + 69 = 138 degrees.
3. Since the sum of the angles in any quadrilateral is always 360 degrees, the sum of the remaining two angles in the parallelogram is 360 - 138 = 222 degrees.
4. Since a parallelogram has two pairs of parallel sides, opposite angles are congruent, and consecutive angles are supplementary. Therefore, the remaining two angles are congruent to each other and supplementary to the known angle.
5. Divide the remaining angle sum of 222 degrees by 2 to find the measure of each of the two congruent angles. 222 / 2 = 111 degrees for each angle.
In conclusion, the three angles of the parallelogram are 69 degrees, 69 degrees, and 111 degrees.