The measures of the angles of a triangle are in the extended ratio 2: 2: 8. what is the measure of the smallest angle?

Let the three angles of the triangle be represented by 2x, 2x, and 8x.

2x + 2x + 8x = 180

x = 15 and 2x = 30.

The angles of the triangle are 30, 30, and 120.

The smallest angle has measure 30.

Note that  30:30:120 is equivalent to the given ration 2:2:8

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

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