two angles of a quadrilateral are 68° and 76°.If the two angles are in the ratio 5: 7,find the measure of each of them
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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
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Answered by
1
Answer:
Total measure of angles in quadrilateral is 360°
Therefore, two angles are given as 68°&76°
And other two angles are in the ratio 5:7
So, the sum of other two angles = 360–68–76
= 216°
Sum of ratio is 12.
First angle of ratio = 5/12×216
= 90°
Second angle of ratio = 7/12×216
=144°
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