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
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