Question

FIGURE IS UP THERE☝☝☝
In the given fig. I is parallel to m and p II q. Find the measure of each of the angles a,b,c,d.​

Answer 1

$\bf{ \green {\underline{ \underline{Solution : }}}}$

$\sf{l \parallel m} \: and \: p\parallel q \\ \\ \sf d = 100 \degree\: - - \: Vertical \: Oposite \: Angle \\ \\ \sf c = 100 \degree \: - - \: Corresponding \: Angle \\ \\ \sf b = 100 \degree \: - - \: Alternate \: Interior \: Angle \\ \\ \sf a + b = 180 \degree \: - - \: Co \: Interior \: Angle \\ \\ \sf a = 180 \degree - 100 \degree = 80 \degree \\ \\ \ \purple{\underline{\boxed{\sf {a = 80 \degree, \: b = 100 \degree, \: c = 100 \degree, \: d = 100 \degree}}}}$

Answer 2

Step-by-step explanation:

l ∥ m and p ∥ q

d=100°−−VerticalOpositeAngle

c=100°−−CorrespondingAngle

b=100°−−AlternateInteriorAngle

a+b=180°−−CoInteriorAngle

a=180°−100°=80°

Hence ,

a=80°,b=100°,c=100°,d=100°