Question

If one angle of a parallelogram is 105 degree, find the other three angles and the ratio between the four angles.

Answer 1

question

If one angle of a parallelogram is 105 degree, find the other three angles and the ratio between the four angles.

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solution

Opposite angles of a parallelogram are Equal.

Sum of angles of quadrilateral is 360.

If other two sides are x,

105 + 105 + x + x = 360

210 + 2x = 360

2x = 150

x =  75

Ratio = 105:75

          =6/5

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Answer 2

Step-by-step explanation:

Let the other three angles be x,y,z

where x is adjacent to 105

y is opposite to 105

z is opposite to x

• x=180-105=75(adjacent angles are supplementary
• y=105(opposite angles are equal)
• z=x=75(opposite angles are equal)
• ratio=105:75:105:75=7:5:7:5(I am not very sure about the ratio part but I guess this is the answer)