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In the diagram, what is the value of x?

 May 3, 2018
 #1
avatar+972 
+3

Hey Maplesnowy!

 

Since a full circle is 360 degrees and we are missing one angle, we can write an equation to solve for that angle.

 

Also, a right angle is 90 degrees.

 

90 + 90 + 150 + x = 360

 

330 + x = 360

 

x = 30

 

The angle you want to solve for is 30 degrees.

 

I hope this helped,

 

Gavin.

 May 3, 2018
 #2
avatar+3994 
+1

Two right angles: 90+90=180

Angle opposite to the 90-degree angles is 150 degrees.

So, the answer is 180-150=\(\boxed{30^\circ}\)

.
 May 3, 2018

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