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Question

In the figure(not drawn to scale), DAE, CBH and ACG are straight lines, DAE||CBH||FG and CA=CB. Find x and y respectively.
723705_2e3874c375634ababc141e27081070ff.png

A
70o,35o
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B
110o,145o
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C
110o,35o
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D
140o,20o
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Solution

The correct option is A 110o,145o
Given that DAE||CBH||FG
x+70=180 ....Consecutive interior angles of parallel line

x=110

x=ACB=110 ....Alternate interior angles of parallel lines
In a ΔABC, we have

CA=CB

BAC=CBA=(1801102) ....Angle s opposite to equal sides are also equal

BAC=CBA=35
We know that CBH is a straight line.
Thus y+CBA=180
y+35=180
y=145

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