four angles of a quadrilateral are equal find all angles of quadrilateral?
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four angles of a quadrilateral are equal find all angles of quadrilateral?
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Answer:
Measure of each angle of the quadrilateral will be 90°.
Explanation:
A quadrilateral refers to a polygon with 4 sides.
The sum of angles of a quadrilateral is:
⟹ ( n. of sides - 2 ) × 180°
⟹ ( 4 - 2 ) × 180°
⟹ 2 × 180°
⟹ 360°
So, sum of all angles of a quadrilateral is 360°
It is given to us that all four angles of the quadrilateral are equal.
let each angle of a quadrilateral is of measure "x"
Then the equation becomes:
x + x + x + x = 360°
4x = 360°
x = 360°/4
x = 90°
Hence, each angle of the quadrilateral is 90°
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