How to find x? Please help with explaination

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°

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm