Question

Two angles of a hexagon measures 80 degrees and 90 degrees other angles of a hexagon aid in the ratio 4 ratio 6 ratio 5 ratio 7 find the angles

Answer 1

Answer:

let the ratio be X

then according to angle sum property

80°+90°+4X+6X+5X+7X = 720°

170° + 22X = 720°

22X = 720-170

22X = 550

X = 550/22

X = 25°

now we will find the angle that are in ratio

4X = 4xX = 4x25 = 100°

6X = 6xX = 6x25 = 150°

5X = 5xX = 5x25 = 125°

7X = 7xX = 7x25 = 175°

Step-by-step explanation:

it is because interior angle sum property of hexagon is 720°

Answer 2

answer :

your answer = 100°

= 150°

= 125°

=175°

Step-by-step explanation:

let the angles be x

therefore = 4:6:5:7: = 4x +6x +5x +7x

now, 80°+90°+2x + 6x + 5x +7x = 720°

now, 170°+22x= 720°

22x = 720°-170°

22x = 550°

x = 550/22

x = 25°

now , 4x = 4 × 25 =100°

6x = 6 × 25 =150°

5x = 5 × 25 =125°

7x = 7 × 25 =175°

NOTE = SUM OF ALL ANGLES OF HEXAGON

IS 720°

I HOPE IT WILL BE HELPFUL FOR YOU

AND ALSO I WISH MY EXPLANATION WOULD ALSO WORK