2. Two angles of a quadrilateral are 68º and 76º.
If the other two angles are in the ratio 5:7,
find the measure of each of them.
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Step-by-step explanation:
sum of given angle is 68+76=144
sum of other two angle is 360-144=216
sum of ratios= 12
angle 1=5/12×216=5×18=90
angle 2=7×18=126
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Hi❤️❤️
Two angles are 68° and 76°
Let other two angles be 5x and 7x
∴ 68°+ 76° + 5x + 7x = 360°
12x + 144° = 360°
12x = 360° – 144°
12x = 216°
x = 18°
angles are 5x and 7x i.e. 5×18° and 7×18° i.e. 90° and 126°
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