SOLUTION: If DE and BC are parallel, angle 3 = angle 4 = 2(angle 2) and angle 6 = angle 2 + 12 degrees, find the measure of angle 1. file:///C:/Users/Chris/Downloads/Scanned%20Documents%2

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Question 1154687: If DE and BC are parallel, angle 3 = angle 4 = 2(angle 2) and angle 6 = angle 2 + 12 degrees, find the measure of angle 1.
file:///C:/Users/Chris/Downloads/Scanned%20Documents%20(2).pdf
*ignore black line down middle*

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

given:
and are parallel,
< = < = *<
from the graph we see that
<= < + < as corresponding angles
< = < as alternate interior angles

if < = < = *< , < = < , and if < is
their sum is

< =° and < =°
< = < = *< =°

and if < = < + ° , we have
< = = °
< =°
< = °= °

so, < = °

check if the sum of < < is °

< < =°=°

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