Question

find the angles : the angles are supplementary and the larger angle is 20 less than 3 times the smaller ( explaination please ) ​

Answer 1

Answer:

smaller angle = 40 degrees

larger angle = 100 degrees.

Step-by-step explanation:

Let the smaller angle be x,

then the larger angle will be 3x - 20.

we know that the sum of the angles are 180 (given that they are supplementary).

3x - 20 + x = 180

4x - 20 = 180

4x = 180 - 20

4x = 160

x = 160/4

x = 40

therefore, smaller angle = x = 40 degrees

and larger angle = 3x - 20 = 3*40 - 20 = 120 - 20 = 100 degrees.