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