228k views
1 vote
Determine the equation that best represents the triangle(3x-1)31°The equation that would match this triangle is:3x - 1 = 3Value of x

Determine the equation that best represents the triangle(3x-1)31°The equation that-example-1

1 Answer

3 votes

The equation that will match the triangle:

3x -1 + 31 + 90 = 180 (option A)

x = 20° (option B)

Step-by-step explanation:

The small square is 90 degrees

Sum of angles in a triangle:

(3x - 1)° + 31° + 90° = 180°

The equation that will match the triangle:

3x -1 + 31 + 90 = 180

solving for x:

3x -1 + 31 + 90 = 180

3x + 120 = 180

subtract 120 from both sides:

3x + 120 - 120 = 180 -120

3x = 60

divide both sides by 3:

3x/3 = 60/3

x = 20°

User NgocLK
by
4.1k points