Answer:
x= 52°
Step-by-step explanation:
the sum of entire angles in a trapezium is 360. it the same for any four sided figure whether it's a square of rectangle.
we are given 2 sides with corresponding values. in this trapezium it is important to note that the top 2 angles(left and right) are the same and the bottom 2 angles (left and right)are the same.
we know that the top left is (97-3x)° so the top right will also be (97-3x)°
we know that the bottom left is (69+5x)° so the bottom right is also (69+5x)°
so the total sum of angle is;
2 x (97-3X) + 2 x (69+5x) = 360°
194-3x + 138 + 5x = 360
8x - 56 = 360
8x = 416; x = 416/8 = 52°
