3 years ago

In the given figure p=120° and y : z=2 : 3 Find x, y and z

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 , 2y = 3z or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180 Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check: 60 + 72 + 48 = 180

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