Math, asked by andrajayanth3660, 11 months ago

The opposite angles of a parallelogram are 3 x + 5 degree and 61 - x degree the measure of the four angles is

Answers

Answered by Anonymous
63

\huge{\mathfrak{\red{Question:-}}}

The opposite angles of a parallelogram are 3 x + 5 degree and 61 - x degree the measure of the four angles is

\huge{\mathfrak{\red{Answer:-}}}

It should be 47°&133°.

\huge{\pink{Solution:-}}

(3x+5)°=(61-x)° {Opposite angles of a. parallelogram are equal and adjacent angles are supplementary.}

=>3x+x=61-5

=>4x=56°

=>x=56/4

=>x= 14°

So, the angle should be 3x+5 =3x14+5=47°

180-47=133°

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Answered by KajalBarad
4

Answer:

133 °

To find ,

The opposite angles of a parallelogram are 3 x + 5 degree and 61 - x degree the measure of the four angles is

Given,

(3x+5)°=(61-x)°

[Opposite angles of a. parallelogram are equal and adjacent angles are supplementary.]

Calculation,

=>3x+x=61-5

=>4x=56°

=>x=56/4

=>x= 14°

So, the angle should be

3x+5 =3x14+5=47°

180-47=133°

Hence the angle is 133°

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