Question

The adjacent angles of a parallelogram are x and (2x+30) find all the angles of the paralleligram

Answer 1

As we know sum of the adjacent angles of a parallelogram is equal to 180°
So,According to the question,
x + 2x + 30 = 180°

3x = 180° - 30

x = 150° / 3 = 50°

Therefore, angles are : 1. x=50°
2. 2x +30 =100+30 =130°
3.50° (opposite angles are equal in parallelogram)
4.130°
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Answer 2

let the sides of llgm be a and d,
then,
a+d=180^ (linear pair)
(here ^=degree)
x + 2x+30=180
3x + 30=180
3x=180-30
3x=150
x=50^

so,
a=50^
d=2x+30=2X50+30=130^
c=50^
d=130^


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