Respuesta :

supplementary means they add up to 180

angle 1 = x
angle 2 = x + 166

so x + x + 166 = 180
2x = 14
x = 7

so angle 1 = 7 angle 2 = x + 166 = 173

The measure of angles are 7 degrees and 173 degrees

What is angle?

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.

What is supplementary 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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