The sum of interior angles in a quadrilateral is 360°.
So, the sum of the given angles is 263° + 71° = 334°.
Therefore, the sum of the other two angles is 360° - 334° = 26°.
Let the measures of the other two angles be 6x and 7x.
Then, 6x + 7x = 26°
Simplifying, we get
13x = 26°
x = 2°
So, the measures of the other two angles are:
6x = 6(2°) = 12°
7x = 7(2°) = 14°
Therefore, the measures of the other two angles are 12° and 14°.
Two angles of quadrilateral measures 263°and 71° the other two angels are in a ratio of 6:7 what measures of those two angels
3 answers
One angel of parallelogram measures 18° what are the measures of other three angels in the parallelogram
Opposite angles in a parallelogram are equal. So, the opposite angle to the given 18° angle also measures 18°.
Therefore, the sum of these two opposite angles is 18° + 18° = 36°.
Since the sum of all interior angles of a parallelogram is 360°, the other two angles are also equal and their sum is:
360° - 36° - 18° = 306°
So, each of the other two angles measures:
306° / 2 = 153°
Therefore, the measures of the other three angles in the parallelogram are 18°, 18°, and 153°.
Therefore, the sum of these two opposite angles is 18° + 18° = 36°.
Since the sum of all interior angles of a parallelogram is 360°, the other two angles are also equal and their sum is:
360° - 36° - 18° = 306°
So, each of the other two angles measures:
306° / 2 = 153°
Therefore, the measures of the other three angles in the parallelogram are 18°, 18°, and 153°.