Question

find the measure of all four angle​

Answer 1

Explanation:

x+3x=180

4x=180

X=45

3x=135

all angles are 45,135,45,135

Answer 2

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$\boxed{\pink {\bf {The \: angles \: of \: the \: parallelogram \: are \: 45^{\circ},135^{\circ},45^{\circ},135^{\circ}}}}$

Explanation:

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• Adjacent angles of the parallelogram are in the ratio 1:3.

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• All the other angles of the parallelogram.

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• Let the Adjacent angles of the parallelogram be 1x, 3x

• We know that one of the properties of parallelogram is adjacent angles of a parallelogram are supplementary.

• So, 1x + 3x = 180

• 4x = 180

• x = $\frac {180}{4}$

• x = 45°

• So, we got x as 45°

So, adjacent angles are 1x , 3x .

Now substitute the value of x in them

• 1 x = 1 × 45 = 45°

• 3x = 3 × 45 =135°

So, adjacent angles are in measure 45°,135°.

We know that that one of the properties of parallelogram is that opposite angles of a parallelogram are equal.

So, the angle opposite to the adjacent angles should be 45°,135°.

$\boxed {\bf {The \: angles \: of \: the \: parallelogram \: are \: 45^{\circ},135^{\circ},45^{\circ},135^{\circ}}}$