in each of the figures given below: AB parallel to CD find the values of X in each case
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Draw a line EF which is parallel to CD
So we get
EF∥CD and EC is transversal
from the figure we know that ∠FEC and∠ECD are
consecutive angles
so we get
∠FEC+∠ECD=180
o
by substituting the values
∠FEC+124
o
=180
o
∠FEC=56
o
we also know that EF∥CD and AB∥CD
so we get EF∥AB and AE is a transversal
from the figure we know that ∠BAE and ∠FEA are
consecutive angles
so we get
∠BAE+∠FEA=180
o
by substituting the values
116
o
+∠FEA=180
o
∠FEA=64
o
In order to find the value of x
x
o
=∠FEA+∠FEC
by substituting the values
x
o
=64
o
+56
o
x
o
=120
o
Therefore the value of x is 120
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