Find the measure of the variables and the measures of angles please, HELP ASAP!

9514 1404 393

  x = 36

  78°, 36°, 66°  (CW from lower left)

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we can write the equation ...

  (2x +6)° +x° +(2x -6)° = 180°

  5x = 180 . . . . simplify

  x = 36 . . . . . . divide by 5

Then the angle measures are ...

  (2x +6)° = (2·36 +6)° = 78°

  x° = 36°

  (2x -6)° = (2·36 -6)° = 66°

Top angle - 36

Left angle - 78

Right angle - 66

Step-by-step explanation:

First to find the angles you need to find x. Do this by adding all the angle measurements and setting them equal to 180 because all triangles equal 180.

Then, combine like terms

Finally, divide both sides by 5

Now that you know x you can plug it in to find the rest of the angles. The top angle is simply 36. The left angle is 2(36) + 6, which equals 78. The right angle is 2(36) - 6, which equals 66.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)