Question

in figure, line $linep\parallel lineq$ and line $l$ and line $m$ are transverses measures of same angles are shown there. Find the measures of $\angle a,\angle b,\angle c,\angle d$.

Answer 1

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°