The the measure of the angle is 30 ° .
It is required to find the measure of the angle.
What is angle?
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given that:
A supplement of an angle is 4 times as large as the angles complement.
supplement of an angle = 180-x
Complement of an angle =90- x
Supplement = 4(complement)
180-x = 4(90-x)
180-x = 360 -4x
3x = 180
x = 180/3
x = 60
Supplement =120; Complement = 30
Therefore, the measure of the angle is 30 ° .
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