find the smallest angle of the triangle 96degrees, 2x, x+12degrees

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

To find the smallest angle of the triangle, we must determine the value of x in the angles 2x and x+12.

Adding up the angles of a triangle, we get:
96 + 2x + x + 12 = 180
109 + 3x = 180
3x = 71
x = 23.67

Substitute x back into the angles to find the smallest one:
2x = 2(23.67) = 47.34
x+12 = 23.67 + 12 = 35.67

Therefore, the smallest angle of the triangle is 23.67 degrees.

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