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The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.



Sagot :

rupam29roy

Step-by-step explanation:

so the smallest angle is angle A which is 30 degree

View image rupam29roy
jacobEwing

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]

The smallest angle then is x + 37, or 37 - 7, giving us 30°

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