Answer:
[tex]y = 30[/tex]
Skills needed: Angle Geometry
Step-by-step explanation:
1) First, let's see what we should know prior to solving.
---> We have to find the value of [tex]y[/tex], and looking at that diagram, we have to create an equation.
---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).
---> When you add [tex]3y+3y[/tex], you can set that sum equal to 180. This is because the two angles marked [tex]3y[/tex] added together make a straight line, which is a straight angle.
(Note: In geometry, ONE OF THE THINGS WE CAN ASSUME is that there is a straight line there.)
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2) Now, the equation would be:
[tex]3y+3y=180 [/tex]
[tex]6y=180[/tex] --> Combining [tex]3y[/tex] and [tex]3y[/tex] (3+3 = 6)
[tex]y = 180\div6[/tex] --> Dividing by 6 on both sides, to get [tex]y[/tex] by itself.
[tex]y=30[/tex] ---> [tex]180 \div 6[/tex] is 30, so [tex]y[/tex] is equal to 30.
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[tex]y=30[/tex]
