Find the measures of the angles.
A. m∠x
B. m∠y
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A. m∠x = 50°
m∠y = 135°
B. m∠x = 125°
m∠y = 50°
C. m∠x = 50°
m∠y = 125°
D. m∠x = 135°
m∠y = 50°
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
did you still need help? or were you able to figure it out?
OpenStudy (anonymous):
I still need help!
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
do you agree that angle ADE is a right angle?
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OpenStudy (anonymous):
Yes
jimthompson5910 (jim_thompson5910):
so ADE is 90 degrees
we see that a piece of ADE is 40 degrees. The other piece is x
so...
x+40 = 90
what must x be?
OpenStudy (anonymous):
50
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
as for the angle with y in it, the 55 degree angle and the angle y add up to 180 degrees
because these two angles form a straight angle (which is 180 degrees)
so
55+y = 180
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OpenStudy (anonymous):
125
jimthompson5910 (jim_thompson5910):
you are correct
OpenStudy (anonymous):
Can you help with another?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
What are the values of x and y in the diagram?
A. x = 77°
y = 93
B. x = 87°
y = 83°
C. x = 77°
y = 83°
D. x = 87°
y = 93°
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OpenStudy (anonymous):
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
focus on the triangle
Rule: in any triangle, the 3 angles always add to 180 degrees