Question

The angles of a quadrilateralaeral are respectively 100 degree , 98 degree , 92 degree . Find the fourth angle.​

Answer 1

Question:-

• The angles of a Quadrilateral are respectively 100° , 98° , 92° . find the fourth angle.

Given:-

• First Angle = 100°
• Second Angle = 98°
• Third Angle = 92°

To Find :-

• The Measure of Fourth Angle .

Solution:-

Let the Measure of Fourth Angle be x°, We know that The Sum of the Angles of a Quadrilateral is 360° ( Angle Sum Property of Quadrilateral ).

$\qquad \quad {:} \longrightarrow \sf{\bf{100 \: + \: 98 \: + \: 92 \: + \: x \: = \: 360 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 290 \: + \: x \: = \: 360 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: x \: = \: 360\: - \: 290 }}$

$\qquad \quad {:} \longrightarrow \sf{ \boxed{{\bf{ \: x \: = \: 70 }}}}$

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So, the Measure of the Fourth Angle is 70°°

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More For Knowledge:-

Number of Sides of different Polygon:-

• Triangle = 3 sides
• Quadrilateral = 4 sides
• Pentagon = 5 sides
• Hexagon = 6 sides
• Heptagon = 7 sides
• Octagon = 8 sides
• Nonagon = 9 sides
• Decagon = 10 sides

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Answer 2

Answer:

correct answer⬆⬆⬆⬆⬆

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