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The measure of the angles <C1, <B2 and <B3 are 2x + 10, -2x+80 and -2x+80

Lines and angles

A line is defined as the shortest distance between two points while an angle is the point where two lines meet.

Since the sum of angles on a straight line is 180 degrees. Therefore;

C<1 + C<2 = 180

Given the parameter below;

C2 = 170 - 2x

Substitute the given information into the equation

C1 + 170 - 2x = 180

C1 = 2x + 10

Also;

C1 + B2 = 90

2x + 10 + B2 = 90

B2 = -2x + 80

Since <B2 = B3, hence <B3 = -2x + 80

The measure of the angles <C1, <B2 and <B3 are 2x + 10, -2x+80 and -2x+80

Learn more on line and angles here: https://brainly.com/question/25770607
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