In the given figure ABC is a triangle if ad is equal to 3.6 CM ab is equal to 10 a is equal to 1.8 CM then the length of AC to make de parallel BC is is
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Answer: Answer
Given
∠C=64
o
∠D=∠C−8
o
=64
o
−8
o
We get,
∠D=56
o
∠A=5(a+2)
o
∠B=2(2a+7)
o
We know that, sum of all the angles in quadrilateral =360
o
So,
∠A+∠B+∠C+∠D=−360
o
5(a+2)
o
+2(2a+7)
o
+64
o
+56
o
=360
o
On further calculation, we get
5a+10
o
+4a+14
o
+64
o
+56
o
=360
o
9a+144
o
=360
o
9a=360
o
−144
o
9a=216
o
We get,
a=24
o
∠A=5(a+2)
=5(5a+2)
We get,
=130
o
Step-by-step explanation:
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