Question

two consecutive angles of a parallelogram are in the ratio 4:5. Find the measure of all angles.....

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Answer 1

Step-by-step explanation:

In a parallelogram opposite angles are equal

and as it is a quadrilateral sum of all angles is 360degree

ratio=4:5

4x+5x+4x+5x=360degree

18x=360

x=20

4x=4×20=80

5x=5×20=100

so angles are 80,100,80,100

Answer 2

Answer:

x + y = 180 becomes 4/5 * y + y = 180 which becomes 9/5 * y = 180. solve for y to get y = 180 * 5 / 9 which is equal to 100. this makes 4/5 * y = 80. the sum of the consecutive angles is equal to 100 + 80 which is equal to 180.

this mine answer hope it helps

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