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 fi
gure shows a kite ABCD where AB = AD. RC - and the diagonals AC and BD intersect
1 answer:
Answer:
x = 30
y = 114
Step-by-step 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
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