The angle of a quadrilateral are (3x + 2)°, (x – 3)°, (2x + 1)°, 2(2x + 5)° respectively.
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Step-by-step explanation:
The angle of a quadrilateral are (3x + 2)°, (x – 3), (2x + 1)°, 2(2x + 5)° respectively. Find the value of x and the measure of each angle. Therefore, the four angles of the quadrilateral are 32°, 71° 107°, 150° respectively.
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We know that sum of all angles of quadrilateral = 360
3x + 2 + x - 3 + 2x + 1 + 2 (2x + 5 ) = 360
6x + 4x + 10 = 360
10x = 350
x = 35
1st angle = 3x + 2 = 107
2nd angle = x - 3 = 32
3rd angle = 2x +1 =71
4th angle = 4x + 10 = 150
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