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.

Question

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

why is angle 1, 60 degress

1 answer

Angle 1 is 60 degrees because angles A, B, and C form a triangle, and the sum of the angles in a triangle is always 180 degrees. Since angle A is 90 degrees (it's a right angle) and angle B is 30 degrees, angle C must be 60 degrees to make the sum of the angles in the triangle 180 degrees.

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GPT 3.5 · Answer

Angle 1 is 60 degrees because angles A, B, and C form a triangle, and the sum of the angles in a triangle is always 180 degrees. Since angle A is 90 degrees (it's a right angle) and angle B is 30 degrees, angle C must be 60 degrees to make the sum of the angles in the triangle 180 degrees.