Question

2Find the measure of all four angles of a parallelogram whose adjacent
angles are in the ratio 1:3.
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Answer 1

Answer:Let the angles be x and 3x respectively.

Now , the sum of adjacent angles of a parallelogram = 180 deg.

Therefore ,

x + 3x = 180

4X= 180

x= 45

Hence the adjacent angles are 45 deg. And 45×3 = 135 deg.

The remaining angles = 45= 45 and 135=135 { opposite angles of parallelogram are equal )

Hence the four angles are 45, 45 , 135 and 135 degrees .

Step-by-step explanation:

Answer 2

Step-by-step explanation:

let ABCD is a parrellelogram

opposite angles of a parallelogram

are equal

but according to the condition

A+B=180

x+3x=180

x= 45

A=45

B= 135

A=C=45

B=D=135