Question

In a parallelogram, the largest angle is 50° greater than the smallest angle. what is the size of each angle in the parallelogram​

Answer 1

Answer: 65° and 115°.

Explanation:

Let the smallest angle is x°

Hence the largest angle is x°+50°

The sum of the angles in a parallelogram that are adjacent to one side is 180 degrees.

Therefore

x°+(x°+50°)=180°

2x°+50°=180°

2x°+50°-50°=180°-50°

2x°=130°

Divide both parts of the equation by 2:

x°=65°

x°+50°=65°+50°

x°+50°=115°.

Answer 2

Largest angles- 115

Largest angle- 115

Smallest angle-65

Smallest angle-65

Explanation:

Angles of opposite sides in a parallelogram are equal.

Let the smallest angle be y.

Let the largest angle be y+50

y+50+y+50+y+y=360

100+4y=360

4y=(360-100)/4

y=65

Theyre four angles:

50+y(65)= 115

50+y(65)= 115

y=65

y=65