+0  
 
+1
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avatar+252 

Find x and ty

 Mar 22, 2021
 #1
avatar+112839 
+2

Hint:

The little triangle is half of an equilateral triangle.

Use angle sum of a quadrilateral

then

trigonometry.

 Mar 22, 2021
 #2
avatar+117633 
+2

On the left, we  have  a 30 - 60 - 90  right triangle

 

Side  of  1  is opposite  thw  30 degree angle

 

So...in a 30-60-90   right triangle,  the side opposite  the 90 degree angle will be  twice  as long = 2

 

The  sum  of  the interior angles of a quadrilateral  =   360 degrees

 

So.....the missing angle , A,  at the top right  can  be  found as

 

90  + 90  + (60 + 90)  + A  =360

 

330 + A  = 360

 

A =  360  - 330   =  30°

 

And  the triangle on the  right  is also a 30-60-90 right triangle

 

The  side of 2 is opposite the 30 degree angle.....and x  is opposite  the 90 degree angle...so...as before....

 

x = 2 * 2   =    4 

 

 

cool cool  cool

 Mar 23, 2021

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