Question

2. An angle in a quadrilateral measures 72º. If the other
three angles are in the ratio 5:6:7, find all the angles
of the quadrilateral
12. C​

Answer 1

Answer:

80°,96°,112°

Step-by-step explanation:

if angle A = 72°

ratio = 5:6:7

therefore,angle B=5x

angle C =6x

angle D =7x

as measure of quadrilateral is always 360°

therefore,

angle A+B+C+D =360

72+5x+6x+7x= 360

72+18x=360

18x=360-72

18x=288

x=288/18

x=16

therefore,angle B = 5x =5×16=80

angle C=6x=6×16=96

angle D=7x=7×16=112