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 1 is 60 degrees because it is a vertical angle to angle 2, and vertical angles are congruent. Therefore, angle 2 is also 60 degrees.
To find the measure of angle EDF, we can use the fact that the angles in a triangle sum up to 180 degrees. Angle E and angle F are both 90 degrees because they are right angles. Given that angle D is 60 degrees, we can subtract the sum of angles E and F from 180 degrees to find the measure of angle EDF.
Therefore, angle EDF is 30 degrees.