Question

The measure of Angle 2 is twelve less than five

Answer 1

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°