The measure of angles are 7 degrees and 173 degrees
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Two angles are called supplementary when their measures add up to 180 degrees.
Given,
An angle measures 166° more than the measure of a supplementary angle
Two angles are called supplementary when their measures add up to 180 degrees.
Consider the measure of smaller angle as x
Then,
x+(x+166)=180
2x=14
x=7 degrees
Measure of larger angle = x+166
=7+166
=173 degrees
Hence, the measure of angles are 7 degrees and 173 degrees
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