The measure of two angles of a quadrilateral are 75 and 105. Find the measure of each of remaining angles if measure of one angle is twice the other.
Answers
182+2x=360
2x+x=360-182=178
x=59.3
The measure of remaining angles are 60 degrees and 120 degrees
Solution:
The sum of measure of all four angles in quadrilateral is 360 degrees
Given that,
The measure of two angles of a quadrilateral are 75 and 105
Let "x" be the measure of third angle
The measure of one angle is twice the other
Therefore, other angle is 2x
Therefore,
75 + 105 + x + 2x = 360
3x + 180 = 360
3x = 360 - 180
3x = 180
x = 60
Thus , 2x = 2(60) = 120
Thus the measure of remaining angles are 60 degrees and 120 degrees
Learn more about this topic
Two angles of a quadrilateral measure 85° and 75° respectively. The other two angles are equal. find the measure of each of these equal angles.
https://brainly.in/question/2921540
The measure of 2 angles of quadrilateral are 115 degree and 45 degree and the other two angles are equal . Find the measure of each of equal angle is.
https://brainly.in/question/3854087