In quadrilateral STAR if angle S=120°and angleT:angleA:angleR= 5:3:7,find the measure of angleR
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Sum of all interior angles of a quadrilateral is 360°.
We already know that one angle is 120°. Thus rest of the angles will add up to 240° (360° - 120°).
The other angles are in the ratio 5:3:7 so we can say that,
5x + 3x + 7x = 240
15x = 240
x = 16°
Thus, Angle R = 16 x 7 = 112°
We already know that one angle is 120°. Thus rest of the angles will add up to 240° (360° - 120°).
The other angles are in the ratio 5:3:7 so we can say that,
5x + 3x + 7x = 240
15x = 240
x = 16°
Thus, Angle R = 16 x 7 = 112°
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