Math, asked by muffis47, 1 year ago

two opposite angles of a parallelogram is 3x-2 and 50-x . find the measure of each angles.

Answers

Answered by surendarrajawat
4
Hey MATE!

We know that opposite angles of a parallelogram are equal. Therefore, given 2 angles are of equal magnitude.

3x -2 = 50 - x

3x + x = 50 + 2

4x = 52

x = 13


Therefore the angles are :

50 - x => 50 -13 = 37°

3x - 2 => 3(13) - 2 = 39 -2 = 37°

The other 2 angles of parallelogram are :

180 - 37 = 143°

Therefore all angles of parallelogram are :

37° ,143° ,37° ,143°.


Hope it helps

Hakuna Matata :))

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Answered by Anonymous
13
\red{HEY\:BUDDY!!}

HERE'S THE ANSWER..

_____________________________

♠️ Parallel gram has a property

✔️ \bold{Opposite\:angles\:of\: parallelogram \:are \:equal}

✔️ So , According to question

=
 = > 3x - 2 \: = \: 50 - x \\ \\ = > 3x + x = 50 + 2 \\ \\ = > 4x = 52 \\ \\ = > x = 52 \div 4

=> \boxed{ x\:=\:13}

✔️3 x - 2

=> 3 ( 13 ) - 2

=> 37 °

✔️50 - x

=> 50 - 13

=> 37

♠️ So the other two angle are 143° and 143°

HOPE HELPED..

\red{JAI HIND..}

:)

Anonymous: holla!! fantastic answer as always. ^_^
Anonymous: thank you :)
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