Question

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.

A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 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

\(\Huge\cal\color{red}{L}\color{#ff5C00}{i}\color{#FF8A00}{f}\color{#FFB800}{e}\) \(\Huge\cal\color{#FFE600}{is}\) \(\Huge\cal\color{#E8FF00}{b}\color{#D1FF00}{e}\color{#BAFF00}{a}\color{#00FF2E}{u}\color{#00FFA1}{t}\color{#00FFB8}
{i}\color{#00FFE6}{f}\color{#00FFFF}{u}\color{#00E6FF}{l}\)
\(\Huge\cal\color{#00CFFF}{~~~~~~~~~~~~~...}\) \(\Huge\cal\color{#00B8FF}{a}\color{#00A1FF}{n}\color{#008AFF}{d}\) \(\Huge\cal\color{#0073FF}{s}\color{#005CFF}{o}\) \(\Huge\cal\color{#002EFF}{a}\color{#4700FF}{r}\color{#5E00FF}{e}\)\(\Huge\cal\color{#7500FF}{y}\color{#8C00FF}{o}\color{#A300FF}{u}\)

\(\Huge\it\color{#A300FF}{W}\color{#8C00FF}{e}\color{#7500FF}{l}\color{#5E00FF}{c}\color{#4700FF}{o}\color{#002EFF}{m}\color{#005CFF}{e}\) \(\Huge\it\color{#0073FF}{t}\color{#008AFF}{o}\) \(\Huge\it\color{#00A1FF}{O}\color{#00B8FF}{p}\color{#00CFFF}{e}\color{#00E6FF}{n}\color{#00FFFF}{s}\color{#00FFE6}{t}\color{#00FFB8}{u}\color{#00FFA1}{d}\color{#00FF2E}{y}\)
\(\Huge\cal\color{#BAFF00}{:}\color{#D1FF00}{)}\color{#E8FF00}{:}\color{#FFE600}{)}\color{#FF8B00}{:}\) \(\Huge\cal\color{#FF8A00}{)}\color{#ff5C00}{:}\color{red}{)}\)

Answer 2

please help!!!

Answer 3

anyone????

Answer 4

tell me if that doesnt make sense

Answer 5

lol i cant read it very well...

Answer 6

x=y because of Opposite Angle thoerem

Answer 7

so the equation is : 60+70+y= 180?
and x= 180?
sorry im not the smartest one out there xD

Answer 8

no. x= whatever y equals

Answer 9

okay and what's the equation?

Answer 10

60+70+y=180

Answer 11

You need an equation for finding angle x, so just write an equation with x and forget y.

Answer 12

@mathstudent55 no you dont

Answer 13

x=y so if you find y then you get x

Answer 14

@mathstudent55 i know what im doing

Answer 15

legit thats what y equals.

Answer 16

which one is right lol

Answer 17

im 100% sure we are both right. @mathstudent55 is just confusing you. ignore it

Answer 18

We are told that angles x and y are vertical angles.
Vertical angles are formed by intersecting lines.
That means the blackened line below is a line.

Answer 19

so which equation am i supposed to use?

Answer 20

How am I confusing anyone if the question is write an equation to solve for x, which is what I did, and you wrote an equation to solve for y, and then a second equation to solve for x? Why complicate it?