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Standard VII
Mathematics
Question
In the figure above, three lines intersect at a point.
If
f
=
85
o
and
c
=
25
o
, what is the value of
a
?
60
o
70
o
65
o
75
o
A
70
o
B
65
o
C
60
o
D
75
o
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Solution
Verified by Toppr
In the given diagram,
∠
c
=
25
0
and
∠
f
=
85
0
⇒
∠
c
=
∠
g
.....( vertical opposite angle)
similarly
∠
a
=
∠
e
.....( vertical opposite angles)
The sum of the angles in straight lines
=
180
0
∠
g
+
∠
f
+
∠
e
=
180
0
⇒
25
+
85
+
∠
e
=
180
⇒
110
+
∠
e
=
180
⇒
∠
e
=
180
−
110
⇒
∠
e
=
70
⇒
∠
e
=
∠
a
⇒
∠
a
=
70
0
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