+0  
 
+1
133
5
avatar+259 

Find the value of x. 

 

 

 

 Apr 23, 2022
 #1
avatar
0

x = 85 degrees.

 Apr 23, 2022
 #2
avatar+578 
+1

I got x=75 deg

 

-Vinculum

 

smileysmileysmiley

 Apr 23, 2022
 #3
avatar+124598 
+2

We are not told  that  the two lines are parallel

 

In  the larger triangle formed, the angles are  75 - 50 - 55 

 

And in the smaller triangle formed  the angles are   50  - 55  - 75

 

By the Exterior Angle Theorem , x = 55 + 50  =  105°  

 

 

cool cool cool

 Apr 23, 2022
 #4
avatar+58 
0

75 degrees + (the angle next to the 75 degrees) = 180° -> the angle next to the degrees = 105°, so x must also be 105°

 Apr 23, 2022
 #5
avatar+2455 
+1

The angle opposite to 75 is 75.

 

The angle opposite to the 50 is 50. 

 

The remaining angle in the triangle is 55 degrees.

 

The angle opposite to that is 55 degrees. 

 

The angle opposite to the 50 is 50 degrees

 

The angle that is next to x is 75

 

So x = 180 - 75 = 105

 

Just as Chris found!!!

 Apr 25, 2022

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