Question

two adjacent angles of a parallelogram are in the ratio of 2:3. find the measure each angle.
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Answer 1

Answer:

GIVEN -

• A parallelogram
• Ratio of adjacent angles = 2:3

TO FIND -

• Measures of angles

SOLUTION

Let the ratio be 2x , 3x

We know that the sum of adjacent angles of parallelogram = 180°

2x + 3x = 180°

5x = 180

x= 180/5

x= 36

2x= 2 × 36 = 72

3x= 3 × 36 = 108

more to know -

• In a parallelolgram, Opposite angles are equal

• The diagonal of parallelogram divides two congruent triangle.

• Two sides are parallel.

• The square, rectangle , trapezium all are parallelogram.

Answer 2

Solution

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Given,

• Two adjacent angels of a parallelogram are in ratio 2:3 .

To find ,

• we have to find your the measure of each angle

So,

• let the ratio be in X .
• we know that the sum of adjacent angles of a parallelogram is 180 degree .

This will form equation like this :- 2x +3x = 180°

• now solving this equation we get

$\bold{ = > 2x + 3x = 180}$

$= > 5x = 180$

$= > x = \frac{180}{5}$

$\bold{ = > x = 36}$

Now ,

the measure of each angle ;

$\bold{2x = 2 \times 36 = 72 \degree}$

$\bold{3x = 3 \times 36 = 108 \degree}$

The measure of each angle is 72 degree and 108 degree .

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