Two angles of a quadrilateral measure 210°and 135° the other two angles are in radio of 2 : 3 what are the measures of those two angles
The sum of all angles in a quadrilateral is 360°.
Let the measures of the other two angles be 2x and 3x.
So, we have:
210° + 135° + 2x + 3x = 360°
Simplifying this equation, we get:
345° + 5x = 360°
Subtracting 345° from both sides, we get:
5x = 15°
Dividing by 5 on both sides gives:
x = 3°
So, the measures of the other two angles are:
2x = 2(3°) = 6°
3x = 3(3°) = 9°
Therefore, the measures of the other two angles are 6° and 9°.
A quadrilateral has two angles that measures 209° and 129°. The other two angles are in a ratio of 5:6. What are the measures of those two angles
Let the measures of the other two angles be 5x and 6x.
The sum of all angles in a quadrilateral is 360°, so we have:
209° + 129° + 5x + 6x = 360°
Simplifying this equation, we get:
338° + 11x = 360°
Subtracting 338° from both sides, we get:
11x = 22°
Dividing by 11 on both sides gives:
x = 2°
So, the measures of the other two angles are:
5x = 5(2°) = 10°
6x = 6(2°) = 12°
Therefore, the measures of the other two angles are 10° and 12°.
A parallelogram has one angle that measures 161° what are the measures of the other three angles in the parallelogram
The opposite angles of a parallelogram are equal. So, if one angle in a parallelogram measures 161°, the opposite angle would also measure 161°.
Let's call the other two angles x and y.
Since the sum of all angles in a parallelogram is 360° and opposite angles are equal, we get:
161° + 161° + x + y = 360°
Simplifying this equation, we get:
322° + x + y = 360°
Subtracting 322° from both sides, we get:
x + y = 38°
Since opposite angles of a parallelogram are equal, x and y are also equal. Let's call this common value z.
So, we have:
x = z and y = z
Substituting these values in the equation above, we get:
z + z = 38°
2z = 38°
Dividing both sides by 2, we get:
z = 19°
Therefore, the measures of the other two angles in the parallelogram are 19° each.
A parallelogram has one angle that measures 161° what are the measures of the other three angles in the parallelogram?
If one angle in a parallelogram measures 161°, then its opposite angle will also measure 161°.
Let x be the measure of each of the other two angles. Since opposite angles of a parallelogram are equal, we know that these two angles are congruent.
The sum of all angles in a parallelogram is 360°, so we have:
161° + 161° + x + x = 360°
Simplifying this equation, we get:
322° + 2x = 360°
Subtracting 322° from both sides, we get:
2x = 38°
Dividing both sides by 2, we get:
x = 19°
Therefore, the measures of the other two angles in the parallelogram are each 19°.
parallelogram has one angle that measures 153° what are the measures of the other three angles in the parallelogram
Since opposite angles of a parallelogram are equal, another angle of the parallelogram also measures 153°.
Let x be the measure of each of the other two angles in the parallelogram. Since opposite angles of a parallelogram are equal, we know that these two angles are congruent.
The sum of all angles in a parallelogram is 360°, so we have:
153° + 153° + x + x = 360°
Simplifying this equation, we get:
306° + 2x = 360°
Subtracting 306° from both sides, we get:
2x = 54°
Dividing both sides by 2, we get:
x = 27°
Therefore, the measures of the other two angles in the parallelogram are each 27°.
To find the measures of the other two angles of the quadrilateral, we first need to determine the sum of the angles already given.
Given angles:
Angle 1 = 210°
Angle 2 = 135°
Sum of the given angles:
Sum = Angle 1 + Angle 2
Sum = 210° + 135°
Sum = 345°
Now, we can determine the ratio between the other two angles. Let's assume the measures of the other two angles are 2x and 3x, where x is a constant. The ratio between these two angles is 2:3.
Ratio of the remaining angles:
2x : 3x
The sum of all the angles in a quadrilateral is 360 degrees. So, we can write an equation using the sum of the angles and the ratio:
Sum of all angles = Measure of Angle 1 + Measure of Angle 2 + Measure of Angle 3 + Measure of Angle 4
360° = 210° + 135° + 2x + 3x
Now, solve the equation to find the values of x and then substitute the value of x to obtain the measures of the other two angles. Let's continue:
360° = 345° + 5x
Rearrange the equation:
5x = 360° - 345°
5x = 15°
Divide both sides by 5:
x = 15° / 5
x = 3°
Now, substitute the value of x into the ratio to find the measures of the other two angles:
Measure of Angle 3 = 2x = 2 * 3° = 6°
Measure of Angle 4 = 3x = 3 * 3° = 9°
Therefore, the measures of the other two angles are 6° and 9°, respectively.