Question

Find the value of'y'from the given figures8" align="absmiddle" class="latex-formula">
​

Answer 1

Answer:

$y = 30$

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 $y$, 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 $3y+3y$, you can set that sum equal to 180. This is because the two angles marked $3y$ 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.)

-------------------------------------------------------------------------------------------------------------

2) Now, the equation would be:

$3y+3y=180$

$6y=180$ --> Combining $3y$ and $3y$ (3+3 = 6)

$y = 180\div6$ --> Dividing by 6 on both sides, to get $y$ by itself.

$y=30$ ---> $180 \div 6$ is 30, so $y$ is equal to 30.

-------------------------------------------------------------------------------------------------------------

$y=30$