Question

The measures of two adjacent angles of a

parallelogram are in the ratio 3:2. Find the

measure of each of the angles of the

parallelogram.




please help me​

Answer 1

Step-by-step explanation:

Let the two adjacent angles are 3x and 2x respectively

According to Universal rules of Quadrilaterals. Opposite sides of a parallelogram are parallel to each other and the side between the two sides reacts as a transversal.

As The Angles on a same side of transversal are supplementary to each other.

We can say that, The two adjacent angles are supplementary angles.

Can be shown as,

• ➠ 3x + 2x = 180°
• ➠ 5x = 180°
• ➠ x = 180°/5
• ➠ x = 36°

We found,

• The value of x is 36°.

As we assumed,

• Let the two adjacent angles are 3x and 2x respectively

Therefore,

• The Two adjacent angles are 108° [3 × 36 = 108] and 72° [2 × 36 = 72] respectively.

Finalized Answer:

• The Two adjacent angles are 108° and 72° respectively.

Answer 2

Answer:

108 and 72 degrees

Step-by-step explanation:

sum of adjacent angels in parallelogram =180 degree

3x+2x=180

x=36

3x=108 degree

2x=72 degree