Math, asked by nikkydihingia, 4 months ago

Solve this i will give you 20 points.​

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Answers

Answered by AestheticSky
35

\huge\bf{\pink{\underline{\underline{\mathcal{AnSwer}}}}}

Given:-

\dashrightarrow <ADC = (3x-2)⁰

\dashrightarrow <DCB = (2x-3)⁰

\dashrightarrow <CBA = (3x-2)⁰

\dashrightarrow <BAD = (2x-3)⁰

To find:-

\dashrightarrow value of x.

Property to be used:-

\underline{\boxed{\sf Sum\:of\:all\:angles\:of\:a\: parallelogram = 360⁰}}

Solution:-

\dashrightarrow <ADC+<DCB+<CBA+<BAD = 360⁰

\dashrightarrow (3x-2)⁰+(2x-3)⁰+(3x-2)⁰+(2x-3)⁰ = 360⁰

\dashrightarrow \sf 10x-10 = 360⁰

\dashrightarrow \sf 10x = 370

\dashrightarrow \sf x = \dfrac{370}{10}

\dashrightarrow \sf x = 37⁰

Now,

  • <ADC = 3x-2 = 3(37)-2 = 109⁰
  • <DCB = 2x-3 = 2(37)-3 = 71⁰
  • <CBA = 3x-2 = 3(37)-2 = 109⁰
  • <BAD = 2x-3 = 2(37)-3 = 71⁰

\huge\fbox\green{Verification}

\dashrightarrow 109⁰+71⁰+109⁰+71⁰

\dashrightarrow 180⁰+180⁰

\dashrightarrow 360⁰

hence, verified

Additional information:-

\dashrightarrow opposite angles of a parallelogram are equal.

\dashrightarrow opposite angles of a parallelogram sums up to 180⁰

\dashrightarrow opposite sides of a parallelogram are equal

__________________________

\small\bf\pink{@itzSplendidCharm}

Answered by sunnykrpatel54021
2

Step-by-step explanation:

\huge\bf{\pink{\underline{\underline{\mathcal{AnSwer}}}}}

Given:-

\dashrightarrow <ADC = (3x-2)⁰

\dashrightarrow <DCB = (2x-3)⁰

\dashrightarrow <CBA = (3x-2)⁰

\dashrightarrow <BAD = (2x-3)⁰

To find:-

\dashrightarrow value of x.

Property to be used:-

\underline{\boxed{\sf Sum\:of\:all\:angles\:of\:a\: parallelogram = 360⁰}}

Solution:-

\dashrightarrow <ADC+<DCB+<CBA+<BAD = 360⁰

\dashrightarrow (3x-2)⁰+(2x-3)⁰+(3x-2)⁰+(2x-3)⁰ = 360⁰

\dashrightarrow \sf 10x-10 = 360⁰

\dashrightarrow \sf 10x = 370

\dashrightarrow \sf x = \dfrac{370}{10}

\dashrightarrow \sf x = 37⁰

Now,

<ADC = 3x-2 = 3(37)-2 = 109⁰

<DCB = 2x-3 = 2(37)-3 = 71⁰

<CBA = 3x-2 = 3(37)-2 = 109⁰

<BAD = 2x-3 = 2(37)-3 = 71⁰

\huge\fbox\green{Verification}

\dashrightarrow 109⁰+71⁰+109⁰+71⁰

\dashrightarrow 180⁰+180⁰

\dashrightarrow 360⁰

hence, verified

Additional information:-

\dashrightarrow opposite angles of a parallelogram are equal.

\dashrightarrow opposite angles of a parallelogram sums up to 180⁰

\dashrightarrow opposite sides of a parallelogram are equal

__________________________

I hope you get help.

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