Question

in the adjoining figure line P is parallel to line Q line l is parallel to line m find the measure of Angle A Angle B and angle C using the measure of given angle justify the answer

Answer 1

Answer:

line p || line q and line l is a transversal. ∴ m∠a + 80° = 180° …[Interior angles] ∴ m∠a= 180° – 80° ∴ m∠a= 100° ii. line l || line m and line p is a transversal. ∴ m∠c = 80° …(i) [Exterior alternate angles] iii. line p || line q and line m is a transversal. ∴ m∠b = m∠c … [Corresponding angles] m∠b = 80° …[From (i)] ∴ m∠a = 100°, m∠b = 80°, m∠c = 80°Read more on Sarthaks.com - https://www.sarthaks.com/853431/given-figure-line-line-line-line-measures-using-measures-given-angles-justify-your-answers