If transversal Intersects two parallel lines interior angles so formed are ( 2x – 5) and (3x + 20) find x. *
a) 30 degree
b) 33degree
c) 66degree
d) 45degree
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Answer:
80° and 100°
Step-by-step explanation:
Let one angle is a and other be b
SInce, property of supplementary
a+b=180
o
....(1)
a−b=20
o
....(2)
Addition of equation (1) and (2)
2a=180
o
+20
o
=200
o
⇒a=
2
200
o
⇒a=100
o
Substitute the value of a in equation (1)
⇒100
o
+b=180
o
⇒b=80
o
Therefore, one angle is 80 degrees and other is 100 degrees
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