The angles of a quadrilateral are( x+1),( 5x+4), (x-2) and ( 3x+7)
Find all the angles of quadrilateral
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The angles of quadrilateral is 36°, 179°, 33° & 112°.
Step-by-step explanation:
Sum of measure of all angles of the quadrilateral is 360°.
.: ( x+1) + ( 5x+4) + (x-2) + ( 3x+7) = 360
x + 1 + 5x + 4 + x - 2 + 3x + 7 = 360
10x + 10 = 360
Dividing both sides by 10
:. x + 1 = 36
x = 35
x+1 = 35+1 = 36
5x + 4 = 5(35) + 4 = 175 + 4 = 179
x-2 = 35-2 = 33
3x+7 = 3(35) + 7 = 112
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