given parallelogram abcd, find the value of y.
a) 64
b) 26
c) 82
d) 180
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Answer:
c) 82
Step-by-step explanation:
<ABE and <BEC are supplementary because they form a line.
<ABE + <BEC = 180
116+ x = 180
Subtract 116 from each side.
116-116+x = 180 -116
x = 64
The angles in triangle ECB add to 180 because it is a triangle
<BEC + <ECB + <CBE = 180
x + 34+y = 180
64 + 34+ y = 180
98 + y = 180
Subtract 98 from each side.
98-98+y = 180-98
y = 82