Question

Two consecutive angles of a parallelogram have measures (x+30) and [2(x-30)]. What is the measure of the smaller angle?

Answer 1

The sum of the consecutive angles = 180
Therefore
X+30+2x-60=180
3x-30=180
3x=210
X=70
Smaller angle 2 (x-30)=80

Answer 2

Answer:

The measure of smaller angle = 2(x-30) = 80.

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.

So (x+30) + 2(x-30) = 180

=> x + 30 + 2x - 60 = 180

=> 3x - 30 = 180

=> 3x = 180 + 30 = 210

=> x = 210/3 = 70

So x =70°