In the figure line l is parallel to line m,and line p is parallel to line q. If measure of one of the angle is given as 65° then find measure of angle a,angle b,angle c.
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Answer:
1 ) It is given that ,
l // m , transversal p
a = 78° ( corresponding angles )
2 ) p//q , transversal is m
a = d = 78° ( corresponding angles )
b = d = 78° ( vertically opposite angles )
3 ) l//m , transversal q
c + d = 180° ( sum of angles same side of the
transversal are supplementary )
c + 78° = 180
c = 180 - 78
c = 102°
Therefore ,
a = b = d = 78°
c = 102°
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