Question

if the ratio of measures of s
two adjacent angle of a parallelogram is 1 : 2 , find the measures of all angles of the parallelogram
​

Answer 1

Answer:

let the ratio of adjacent angle be x.

X And 2 X

x+2x+x+2x= 360°

6x= 360°

x= 360°/6

x= 60°

X= 60° 2X= 60°×2= 12●°

Answer 2

• Angles of parallelogram are 60°, 120°, 60° and 120° respectively.

Step-by-step explanation:

To find:-

• All angles of parallelogram.

Solution:-

• Opposite sides of parallelogram are equal and parallel.

We know,

Sum of two interior adjacent angles when two lines are parallel and intersect by an transversal is 180°. This statement is known as Co-interior angles.

So,

➝ x + 2x = 180°

➝ 3x = 180°

➝ x = 180°/3

➝ x = 60°

x = 60°

2x = 2×60 = 120°

• Opposite angles of parallelogram are equal.

So, Opposite angle of 60° is also 60°.

Similarly, opposite angle of 120° is also 120°.

Therefore,

Angles of parallelogram are 60°, 120°, 60° and 120° respectively.