Question

in figure 1 m //n and l is a transversal if 4=125 find measure of 1 , 2 , 3 ,5 , 6,7,8​

Answer 1

$\angle 4 =125 \degree \\ (vertically \: opposite \: angle) \downarrow\\ \angle 4 = \angle 2=125 \degree \\ (corresponding \: ange) \downarrow. \: since \: m \parallel n \\ \angle 4 = \angle 8=125 \degree \\ (alternative \: opposite \: angle) \downarrow.\: since \: m \parallel n \\ \angle 4 = \angle 6=125 \degree \\ (linear \: pair) \downarrow\\ \angle 4 + \angle3 = 180 \degree \\ 125 \degree + \angle3 = 180 \degree \\ \angle3 = 55 \degree \\ (vertically \: opposite \: angle) \downarrow \\ \angle 3 = \angle 1=55 \degree \\(alternative \: opposite \: angle) \downarrow.\: since \: m \parallel n \\ \angle 3 = \angle 5=55 \degree \\ (corresponding \: ange) \downarrow. \: since \: m \parallel n\\ \angle 3 = \angle 7=55 \degree \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$