Answer: The measure of Angle 2 = 148°
Step-by-step explanation:
Given: The measure of Angle 2 is twelve less than five times the measure of Angle 1.
Let the measure of Angle 1 = x
Then, measure of Angle 2 = 5x-12
Since both the angles form linear pair, so their sum = 180° [linear pair of angles must add up to 180°.]
Then, x+ (5x-12) = 180
⇒ x+ 5x-12= 180
⇒ 6x-12= 180
⇒ 6x= 180+12
⇒ 6x= 192
⇒ x= 32 [divide both sides by 6 ]
So, measure of Angle 2 = 5(32)-12 = 160-12 = 148°
Hence, the measure of Angle 2 = 148°
