The measure of one interior angle of a parallelogram is 30 degrees more than 2 times the measure of another angle. Find the measure of each angle.

Step-by-step explanation:

α   - one angle

2α   - two times measure of angle α

2α + 30°    - second angle

Paralleogram has two pairs of angles of the same measure.

Sum of interior angles of any quadrangle is 360°

Therefore:

2×α + 2×(2α + 30°) = 360°        {divide both sides by 2}

α + 2α + 30° = 180°                 {subtract 30° from both sides}

  3α = 150°                        {divide both sides by 3)

      α = 50°

2α+30° = 2×50° + 30° = 130°

здрасти

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have