Math, asked by bunnybe, 4 months ago

In a quadrilateral three angles are equal and fourth angle is 900 find three angles.​

Answers

Answered by Anonymous
1

Correct Question:

In a quadrilateral, three angles are equal and fourth angle is 90°. Find three angles.

Answer:

Each angle of the quadrilateral is of measure 90°.

Explanation

A quadrilateral is a polygon with 4 sides. As it is a polygon it is a two dimensional figure with four vertices .

Three angles are equal. So, let all three equal angle of the quadrilateral be "a"

The measure of fourth angle = 90°

Sum of all angles of a quadrilateral is 360°, equation becomes:

⇛ a + a + a + 90° = 360°

⇛ a + a + a = 360° - 90°

⇛ a + a + a = 270°

⇛ ( 1 + 1 + 1 )a = 270°

⇛ 3a = 270°

⇛ a = 270°/3

⇛ a = 90°

Each angle of the quadrilateral is of measure 90°. ( It's a rectangle )

Related Question:

The angles of a triangle are in the the ratio 1:2:3. Find the measure of each angle of the triangle.

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