+0

# help

+1
107
2
+103

Determine the value of x.

Dec 10, 2019

#1
+21725
0

First find the angle next to 123     123 + angle1 = 180

then fin the ngle next to 114       114 + angle2= 180

Now you can compute the third angle in the bottom tringle

Angle 3 = 180 - angle 2 - angle 1

this will also be the bottom angle in the right triangle

then the other angle in the right triangle will be   180 - 90 - angle 3

this will also be the angle in the bottom of the TOP triangle

the other two angles in the top triangle are = (and this includes 'x')

so subtract this bottom angle from 180    and divide by 2 to find 'x'       Give it a try !

Dec 10, 2019
#2
+109064
+1

The angle supplemental to 114    =   66

The angle supplemental to 123  =  57

The apex angle in the top triangle  = 180 - 66 - 57   =  57°  = the "bottom" angle in the middle triangle

So.....the other missing angle  in the middle triangle  = 90 - 57 =  33°

So

2x  +  33  = 180

2x =  147

x =  147/2   = 73.5°

Dec 10, 2019