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Iteru [2.4K]
4 years ago
13

Solve x in the diagram below

Mathematics
1 answer:
zzz [600]4 years ago
8 0

A straight line is 180°, so you add these two angles together because they make a straight line:

3x° + 75° = 180°        

To find "x", isolate/get the variable "x" by itself in the equation. Subtract 75° on both sides

3x° + 75° - 75° = 180° - 75°

3x° = 105°      Divide 3 on both sides to get "x" by itself

x = 35°

PROOF

3x° + 75° = 180°   Substitute/plug in 35 into "x" since x = 35°

3(35)° + 75° = 180°

105° + 75° = 180°

180° = 180°

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