Question

the measures of two adjacent angles of a parallelogram are in the ratio of 3:2 find the measure of each of the angles of the parallelogram​

Answer 1

Answer:

108, 72, 108, 72

Step-by-step explanation:

Adjacent angles of a parallelogram add up to 180 degrees as they form co interior angles.

We can take the angles as 3x and 2x

3x+2x = 180

5x = 180

x = 36

Thus 3x = 108 degrees and 2x = 72 degrees

since opposite angles of a parallelogram are equal,

all the angles are 108, 72, 108 and 72 degrees

Answer 2

$\huge \bold {your \: answer}$

• GIVEN :-
• ratio between two adjacent angles of a parallelogram is = 3 : 2
• let the adjacent angles be 3x and 2x respectively.
• we know that,
• sum of two adjacent angles in a parallelogram = 180°
• ⇒ 3x + 2x = 180°
• ⇒ 5x = 180°
• ⇒ x = 180/5
• ⇒ x = 36°
• therefore the adjacent angles are :-
• 3x = 3 * 36 = 108°
• 2x = 2 * 36 = 72°
• we also know that the opposite angles of a parallelogram are equal.
• therefore the other two adjacent angles are also 108° and 72°
• hence, all the angles of the parallelogram are 72°, 108°, 72° and 108°.

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