Question

If x +10, x + 20,x + 30 are the angles of a quadrilateral ,then the measure of greatest angle is

Answer 1

Answer:

let x be one of the angles

x+x+20 +x+30+x+10=360

4x+60=360

4x=300

x=75°

x+10=85°

x+20=95°

x+30=105°

the greatest angle is 105°

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Answer 2

Answer:

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Explanation:

x+30 is the greatest angle

(x+10)+(x+20)+(x+30) = 180

3x+60 = 180

3x = 120

x = 40

therefore:

x+10 = 40 + 10 = 50 degrees

x+20= 40+20=60 degrees

x+30= 40+30= 70 degrees

this the the solution

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