Answer:
Step-by-step explanation:
Find the supplement of 5x + 62
Call the supplement = z
5x + 62 + z = 180 Subtract 5x + 62 from both sides
z = 180 - (5x + 62) Remove the brackets
z = 180 - 5x - 62
z = 118 - 5x
Add the 3 angles to 180
37 + 3x + 47 + 118-5x = 180 All triangles have 180 degrees. Combine like terms
202 - 2x = 180 Subtract 202 from both sides
-2x = - 22 Divide by -2
x = -22/-2
x = 11
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x = 11
5x + 62 = 5*11 + 62 = 55 + 62 = 117
3x + 47 = 3*11 + 47 = 33 + 47 = 80
Note these do not add up to 180. That's because 5x + 63 is outside the triangle.
The supplement of 117 = 63
37 + 63 + 80 = 180 as it should.
