Answer:
m∠2 = 78°
Step-by-step explanation:
Two lines 'l' and 'm' are parallel and another line 'n' is a transverse.
Since ∠2 and ∠3 are the consecutive interior angles,
Therefore, sum of these angles will be 180°.
m∠2 + m∠3 = 180°
(18x + 6)° + (21x + 18)° = 180°
(18x + 21x) + ( 6 + 18) = 180
39x + 24 = 180
39x = 180 - 24
39x = 156
x = [tex]\frac{156}{39}[/tex]
x = 4
Since, m∠2 = (18x + 6)°
By substituting the value of x = 4,
m∠2 = (18×4) + 6
= 72 + 6
= 78°
Therefore, measure of angle 2 is 78°.
