The number of degrees in the measure acute angle is 18°.
What is Angle?
An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given:
cos 72= sin x
As, sin x= cos(90-x)
So,
cos 72= cos (90-x)
or, 72= 90-x
x=90-72
x= 18.
Hence, the value of x is 18.
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