1) Go...
The figures are similar thus the angles of them are equal to each other peer to peer.
So ;
[tex]2z + 30 = 140[/tex]
Subtract sides -30
[tex]2z + 30 - 30 = 140 - 30[/tex]
[tex]2z = 110[/tex]
Divided sides by 2
[tex] \frac{2}{2}z = \frac{110}{2} \\ [/tex]
[tex]z = 55[/tex]
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[tex]u - 70 = 135[/tex]
Plus sides 70
[tex]u - 70 + 70 = 135 + 70[/tex]
[tex]u = 205[/tex]
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[tex]v + 20 = 65[/tex]
Subtract sides -20
[tex]v + 20 - 20 = 65 - 20[/tex]
[tex]v = 45[/tex]
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[tex]x + 45 = 125[/tex]
Subtract sides -45
[tex]x + 45 - 45 = 125 - 45[/tex]
[tex]x = 80[/tex]
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[tex]y - 40 = 75[/tex]
Plus sides 40
[tex]y - 40 + 40 = 75 + 40[/tex]
[tex]y = 115[/tex]
_________________________________
[tex]x + y + z + u + v = [/tex]
[tex]80 + 115 + 55 + 205 + 45 = [/tex]
[tex]500[/tex]
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2) Go...
They are similar so the missing angle is exactly equals the angle which is given .
