Question

A B (2x + 53) 10. The figure shows a trapezium ABCD where AB // DC. Find the value of x and of y. D C x 5x² 2.237 A B 11. The figure shows a kite ABCD where AB = AD. RC - and the diagonals AC and BD intersect​

Answer 1

x = 30

y = 114

Explanation:

considering DC || AB the sum of angle <D and angle <A must be equal to 180 because they are supplementary:

5x + x = 180 add like terms

6x = 180 divide both sides by 6

x = 30

Same goes for angle <C and angle <B:

y + 2.2x = 180 we know the value of x is 30

y + 2.2*30 = 180

y + 66 = 180 subtract 66 from both sides

y = 114