Question

The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle.

Answer 1

2x + 18 = 50

Explanation:

2x + 18 + 4x + 11 + 55 = 180

6x + 84 = 180

180 - 84 = 96

6x = 96

96/6 = 16

x = 16

2(16) + 18 = 50

55

4(16) + 11 = 75

Answer 2

50 degrees

Explanation:

The angles of a triangle add up to 180 degrees. We would set up the equation like this:

2x+18 + 4x+11 + 55 = 180

Combine like terms:

6x + 84 = 180

Solve for x:

6x = 96

x = 16

We substitute 16 back in for x and see the measure of the smallest angle.

2(16)+18 = 50

4(16)+11 = 75

55

The smallest angle here in 50 degrees.