1. In the given fig. I is parallel to m and p ll q. Find the measure of each of the angles a,b,c,d. [4] Pqba100°сd

1. In the given fig. I is parallel to m and p ll q. Find the measure o

1.	1. In the given fig. I is parallel to m and p ll q. Find the measure of each of the angles a,b,c,d. [4] Pqba100°сd
Answer» ∠D = 100° [ Vertically opposite angle]⠀⠀⠀⠀⠀⠀⠀∠1 + 100° = 180° [ Linear pair ]∠1 = 180° - 100° ∠1 = 80°⠀⠀⠀⠀⠀⠀⠀If P is parallel to Q and L parallel to MSO, It FORMS PARALLELOGRAM.⠀⠀⠀⠀⠀⠀⠀We know that, Opposite angle of parallelogram are equal.So, ∠1 = ∠a = 80° ⠀⠀⠀⠀⠀⠀⠀∠a + ∠b = 180° [ Co - interior ANGLES]80° + ∠b = 180°∠b = 180° - 80°∠b = 100°⠀⠀⠀⠀⠀⠀⠀∠b = ∠c = 100° [ Opposite angles of parallelogram are equal.⠀Hence,∠a = 80°∠b = 100°∠c = 100°∠d = 100°⠀⠀⠀⠀⠀⠀