A diagram and information about it is provided. A students is trying to figure out the measure of angle EDF. Complete the students thought process in the green boxes below.
/\
A / \
/ \ Right triange
/ \
m B / 1 \ C
<------------------------- / -------------------------->
/ 2
/
/
/
n E / G
<------------------------ . ---------------------.---------------->
/ |
/ |
/ |
/ |
D / ? |
. ---------. F
Angle 1 is 60 degrees because: ______________________
Word Bank:
Adjacent angles Obtuse
Alternate interior angles Parallel
Area Perpendicular
Complementary Regular
Congruent Right
Corresponding Scalene
Equilateral Square
Isosceles Supplementary
Transversal Subtracted
Added Multiplied
vertical divided
Triange angle Sum
compare it to angle 2, angle 2 is 120 degrees
Angle 1 is 60 degrees because angles A and B are complementary, which means they add up to 90 degrees, and angle A is 30 degrees. Angle 1 is an adjacent angle to angle A, so it is also 30 degrees.
Now, since angle 1 is 60 degrees and angle 2 is 120 degrees, we can see that angles 1 and 2 form a straight line, which means they are supplementary angles and add up to 180 degrees.
Therefore, angle EDF would be 180 degrees - 120 degrees = 60 degrees.