Math, asked by likitha2607, 2 months ago

the three interior angle of a quadrilateral are 100°,92° and 98° respectively .find the fourth angle​

Answers

Answered by BrainlyStar909
1

 \bf \: Let \:  the  \: fourth \:  angle \:  be \:  x.

 \bf \: Then,  \: by  \:  \underline{angle  \: sum  \: property \:  of  \: quadrilateral}

 \bf \: 100\degree  + 92\degree  +  98\degree  + x \:  = 360 \degree

 \bf \: x \:  = 360 \degree - (100\degree  + 92\degree  +  98\degree)

 \bf \: x \:  = 360 \degree - 290 \degree

 \bf \: x \:  = 70 \degree

 \underline{ \underline{ \boxed{  \pink{\bf \: So,  \: the  \: Fourth \:  angle = 70  \degree}} }}

Answered by ItzKing24
12

\huge \bf\underline\red{Question}

The three interior angle of a quadrilateral are 100°,92° and 98° respectively .Find the fourth angle.

\huge \bf\underline\red{Answer}

 \bf \green{Here  \: Let \:  the  \: 4th \:  angle \:  be \:  = x}

 \bf \green{Now \:  Adding  \: all \:  4  \: angles}

 \sf  \boxed {100° + 92° + 98° + x = 360° }

 \sf  \boxed {290° + x = 360° }

 \sf  \boxed { x = 360 - 290}

 \bf\fbox\pink{x = 70° }

 \bf \green{→Fouth  \: Angle \:  = 70°}

 \bf\underline\red{Hope \:  It \:  Helps  \: You}

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