Question

4. If the ratio of measures of two adjacent angles of a parallelogram is 1:2, find the
measures of all angles of the parallelogram.
int AS BO - 12 mnd​

Answer 1

Step-by-step explanation:

Solution :-

In parallelogram, sum of adjacent angles =180

Given they are in ratio 1:2.

∴x+2x=180

⇒3x=180

⇒x=60

∴ the angles are 60

∘

,120

∘

,60

∘

,120

∘

Answer 2

Answer:

Measure of adjacent angles of parallelogram = 1 : 2

So , measure in ratio of all angles = 1 : 2 : 1 : 2

as opposite angles of parallelogram are equal

So , let the angles be x

then , 1x + 2x + 1x + 2x = 360

( as sum of all angles of parallelogram is 360 degree)

So, 3x + 3x = 360

6x = 360

x = 360/6

x = 60 degree

So the angles are ,

1 × 60 = 60

2 × 60 = 120

1 × 60 = 60

2 × 60 = 120

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