What are the angle measures?

In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor. Fun Facts. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.

Step-by-step explanation:

a.  Equation:

3x + 21 = 6x - 60           {measure of corresponding angles is the same}

3x - 6x = -60 - 21

- 3x = - 81

b. Value of x:

  x = 27

c.  Ange measures:

3x + 21 = 3×27 + 21 = 81 + 21 = 102°

or:

6x - 60 = 6×27 - 60 = 162 - 60 = 102°

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw