Question

Two angles of a quadrilateral are 68°and 76°.If the other two angles are in the ratio 5:7. Find the other two angles

Answer 1

Hey


Given that :-
Two angles of quadrilateral are = 68° and 76° resoectively .

Let the ratio constant be x .
So , third angle be 5x
fourth angle be 7x .

A/q , We know that , sum of all angles of a quadrilateral is 360° .

So , 68° + 76° + 5x + 7x = 360°
=> 144° + 12x = 360°
=> 12x = 360° - 144°
=> 12x = 216
=> 2x = 36
=> x = 18

So ,
third angle = 90°
fourth angle = 126°


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Answer 2

Answer:

126 and 90

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