Question

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Answer 1

k) y=45° (ângulos opostos pelo vértice)

x=120º

2z+120+120= 360

2z+240= 360

2z=360-240

2z=120

z=120/2

z=60

l) 7x -10= x+50

6x = 60

x=60/6

x=10º

m)

4x+10=2x+40

2x=30

x=15°

n) $\frac{x}{2}+ 15+ 3x-23 =90\\\\\frac{x+30+6x-46=180}{2} \\7x-16=180\\7x=180+16\\7x =196\\x=196/7\\x=28$

o) 5x-70 =2x+20

3x =90

x=90/3

x=30

p)

$2x-6 +\frac{3x}{5} +30 =180\\\frac{10x-30+3x+150=900}{5} \\13x+120=900\\13x=900-120\\13x=780\\x=\frac{780}{13} \\x=60$

q) 5x-10 + 2x+40+x+60=360

8x +90=360

8x=360-90

8x=270

x=270/8

x=33,75°