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
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°.
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°.
Let's call the measure of the two unknown angles x and y.
We know that the sum of the interior angles of a quadrilateral is 360 degrees.
Given that the two known angles are 263° and 71°, we can find the sum of those two angles:
263° + 71° = 334°
Next, we can subtract the sum of the known angles from the total sum of the interior angles:
360° - 334° = 26°
Now, let's set up a ratio using the information that the other two angles are in a ratio of 6:7:
6x + 7x = 26°
Combining like terms:
13x = 26°
Dividing both sides by 13:
x = 2°
Now that we have x, we can find y using the given ratio:
y = 7x
Substituting the value of x:
y = 7 * 2°
y = 14°
Therefore, the two unknown angles are 2° and 14°.