Question

Two adjacent angles of a parallelogram
in the ratio 1:3. Find the measures
all the
angles. ​

Answer 1

Gɪᴠᴇɴ :-

• Ratio of two Adjacent angles = 1:3

Tᴏ ғɪɴᴅ :-

• Measures of all angles

sᴏʟᴜᴛɪᴏɴ :-

Let the ratio of angles be x

We know that,

➦ Sum of adjacent angles = 180°

So,

According to Question :-

➭ 1x + 3x = 180

➭ 4x = 180

➭ x = 180/4

➭ x = 45°

Hence,

Two adjacent angles = x = 45° , 3x = 3×45 = 135°

➦ We know that in parallelogram opposite angles are equal.

So,

➦ Angles of Parallelogram = 45° , 135° , 45° , 135°

Answer 2

Step-by-step explanation:

Let,the angles be X and 3x.

and ,we know that adjacent Angeles makes 180° .

so, x+ 3x = 180° .

= 4x= 180.

= x= 180/4=45.

hence ,the value of x= 45, 3x= 3× 45= 135.

and , opposite angles are equal...

the measurements of four angles are..

45,135,45,135(ans.)...

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