Question

4. Find the measurement of the biggest and the
smallest angle in the figure given on right.
(2x+30)
(3x-70)
(5x-30)
(3x+40)



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Answer 1

Answer:

2×+ 30 = 60

3×- 40 = 210

5×- 30 = 20

3×+ 40= 120

Answer 2

Answer:

sum of all the angles =360

hence,

(5x-30)+(2x+30)+(3x-70)+(3x+40)=360

5x-30+2x+30+3x-70+3x+40=360

(5x+2x+3x+3x)+(-30+30-70+40)=360

13x-30=360

13x=360+30

x=390/13

x=30

therefore,

angle 1=2x+30=60+30=90

angle 2=3x-70=90-70=20

angle 3=3x+40=90+40=130

angle 4=5x-30=150-30=120

therefore biggest angle is 130 and smallest is 20

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