The measure of one interior angle of a parallelogram is 30° more than two
times the measure of another angle. find the measure of each angle of the
parallelogram.

The measure of one interior angle is 130°  

The measure of other interior angle is 50°  .

Step-by-step explanation:

Given as :

The measure of one interior angle of a parallelogram is 30° more than two

times the measure of another angle.

Let The measure of one interior angle = x°

And The measure of other interior angle = y°

∵ Interior angle on same side of transversal are supplementary

So, ∠x + ∠y = 180°           .........A

And according to question

∠x = 2×∠y + 30°              ...........B

Solving eq A and eq B

2×∠y + 30° + ∠y = 180°

Or, 3×∠y = 180° - 30°

Or, 3×∠y = 150°

∴ ∠y =

i.e ∠y = 50°

So, The measure of other interior angle = ∠y = 50°

Put the value of ∠y in eq B

∵  ∠x = 2×∠y + 30°

Or, ∠x = 2×50° + 30°

Or, ∠x = 100° + 30°

i.e  ∠x = 130°

So, The measure of one interior angle = ∠x = 130°

Hence, The measure of one interior angle is 130° and The measure of other interior angle is 50°  . Answer

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step-by-step explanation:

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