In a quadrilateral three angles are equal and fourth angle is 900 find three angles.
Answers
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.
https://brainly.in/question/34042110