Answer in explaination
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answer :-
x = 65° , y = 65° , z = 65°
step by step explanation :-
MDE = NDF = x ...(given)
now,
MDE + NDF + 50 = 180
x + x + 50 = 180
2x = 180-50
2x = 130
x = 65°
DEF is an isosceles triangle,
thus, y = z ...(1)
sum of measure of angles of triangle is 180.
y + z + 50 = 180
y + y = 180-50 ...(from 1)
2y = 130
y = 65°
therefore,
from equation 1,
z = 65°
hope it helps!
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