Question

The measures of two adjacent angles of a parallelogram are such that one is 30° more than the other,find the measure of each angle of the parallelogram ​

Answer 1

Answer:

The sum of the interior angles of a parallelogram is 180

then the other pair are 105 DQE

Step-by-step explanation:

the adjacent angles form a line and hence their sum is 180 degrees. Let x denote one angle and the other will be (x + 30). Solving the equation:

180 = x + (x + 30) → 150 = 2 x → x = 75 degrees.

(x + 30) = 105 D.

The opposite angles of a parallelogram are congruent. Then the opposite angle is also 75 D.

The sum of the interior angles of a parallelogram is 180. Then the other pair are 105 D. QED.

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Answer 2

Answer:let one angle be =x

Then other Angle be x +30

Then by co interior angle x+x+30=180

2x=150

X=75

Then other angle be x+30 =105

Then by opposit angle other two will be 75 and 105

Step-by-step explanation: