Question

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 80° angle and the 60° angle.

A straight line is shown and is marked with three angles. The first angle measures 80 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 60 degree angle and angle y extends below the straight line. The angle formed is labeled angle x.

Write and solve an equation to determine the measure of angle x.

Answer 1

well, we know the angles 60, 80, and y form a straight line, which means that their sum is 180

x and y are vertical angles, so they are equal

Answer 2

so whats next

Answer 3

that's it, you can use the information to write an equation

Answer 4

so i just multiply each number

Answer 5

SUM means add

if 60, 80, and y have a sum of 180, what is the equation?

Answer 6

so just add them

Answer 7

not quite, it wants you to write an EQUATION

Answer 8

oh ok

Answer 9

__ + __ + __ = __ fill in the blanks

Answer 10

ok hold on

Answer 11

60+80+y=180?

Answer 12

great! but we're not done yet

since we want an equation for x, we have one more step

if x is the same as y, then we can replace y with x in the equation

so what is the new equation?

Answer 13

oh ok let me see
60+80+x=180

Answer 14

fantastic! we're done

Answer 15

ok thanks