Question

Two angles in quadrilateral are 68 degrees and 76 degrees. If the other two angles are in the ratio 5:7. Find the measures of each of them

Answer 1

Answer:

5x = 90

7x = 126

Step-by-step explanation:

Given,

Angles of the quadrilateral = 68, 76, 5:7

Let unknown angles be 5x, 7x

68 + 76 + 5x + 7x = 360 (angle sum property of quadrilaterals)

144 + 12x = 360

12x = 360-144

12x = 216

x = 216/12

x = 18

5x = 5(18) = 90

7x = 7(18) = 126//

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Answer 2

Step-by-step explanation:

total angles in quadrilateral =360

68+76+5x+7x=360

144+12x=360

12x=360-144

12x= 216

x= 18

5x= 5(18)=90

7x= 7(18)= 126