Question

Three angles of a quadrilateral are 54°,80° and 161° find the meaure of the fourth angle. Do step by step​

Answer 1

Answer:

65degree

Step-by-step explanation:

Sum of all angles in a quadrilateral is 360degrees

Let the fourth angle be x

So, 54+80+161+x=360

i.e, 295+x=360

x=65degrees

Answer 2

Question :-

• Three Angles of a Quadrilateral are 54° , 80° and 161° . Find the measure of the Fourth Angle .

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Answer :-

• Fourth Angle is 65° .

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Explanation :-

• Here, Angles of Quadrilateral are given 54° , 80° and 161° . And, we have to find the Fourth Angle .

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● As we know ,

• Sum of angles of quadrilateral is 360°

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● Let ,

• The Fourth Angle be x

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∴ According to the question :-

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➳ 54° + 80° + 161° + x = 360°

➳ 134° + 161° + x = 360°

➳ 295° + x = 360°

➳ x = 360° - 295°

➳ x = 65° .

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Hence :-

• Fourth Angle = 65° .

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$\begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \pmb {\sf \red{ \dag \: \: More \: Information \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \sf{Sum \: of \: Angles \: of \: Triangle = 180 \degree} \\ \\ \\ \footnotesize \bigstar \: \sf{Sum \: of \: Angles \: of \: Pentagon = 540 \degree} \\ \\ \\ \footnotesize \bigstar \: \sf{Sum \: of \: Angles \: of \: Hexagon = 720 \degree} \\ \\ \\ \footnotesize \bigstar \: \sf{Sum \: of \: Angles \: of \: Heptagon = 900 \degree} \\ \\ \\ \footnotesize \bigstar \: \sf{Sum \: of \: Angles \: of \: Octagon = 1080 \degree}\end{array}}\end{gathered}\end{gathered}$