Question

3.2 worksheet angles

Answer 1

Answer:

x = 28,  y = 23

Step-by-step explanation:

in keeping with working only with the expressions which have the variable 'y'

the 3y angle forms a linear pair with the angle which is corresponding to the 5y-4 angle

therefore, we can say that 5y - 4 = 180 - 3y

solve for 'y':   5y - 4 = 180 - 3y

                      8y = 184

                       y = 23

Substitute to find measure of angle 5y-4:  5(23) - 4 = 111 degrees

Now we know that 2x + 13 has to equal 180 - 111 or 69 degrees

solve for 'x':  2x + 13 = 69

                     2x = 56

                     x = 28