Question

The measure of two adjacent angle of a parallelogram are in the ratio 1:3 find the measures of all the angles

Answer 1

Sum of 2 adjacent Angle in a parellogram =180
Let these 2 given adjacent angles be x and 3x
Therefore
x+3x=180
4x=180
x=45°
Adjacent Angle =135
The other adjacent angle of x be 180-45=135°
And other adjacent angle of 3x=180-135=45°
Therefore measure of all angles
=45°,135°,45°,135°
Hope it helps
If yes please mark brainliest

Answer 2

Given that Measures of angles of a parallelogram are in the ratio 1:3. 

Let the measure of two adjacent angles of a parallelogram be x and 3x.

We know that sum of measures of adjacent angles of a parallelogram is 180.

= > x + 3x = 180

= > 4x = 180

= > x = 180/4

= > x = 45.


Therefore, the adjacent angles are 45 and 3(45) = 135.

We know that opposite angles are a parallelogram are equal.

Therefore the measures of all the angles are 45, 135, 45, 135.



Hope this helps!