In the adjoining figure line m || line n line l is a transversal. If m < b = (x + 15)° and m < e = (2x + 15)°, find the value of x. (note that < = angle )
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Answer:
Area of triangle=
2
1
×base×height=
2
1
×AB×AC
=
2
1
×5×12=30cm
2
Now, in ΔABC,
Area of triangle ABC=
2
1
×BC×AD
⇒30=
2
1
×13×AD
⇒ AD=
13
30×2
=
13
60
cm.
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