Question

In the figure, angle G measures 117°, angle C measures 22°, and angle E measures 40°.

Answer 1

The measures of  all angles of the triangle are :

Given: G = 117°
C = 22°
E = 40°

To find, B, F, D = ?

Now, F = G because opposite angles, Thus, F = 117°

And, Triangle sum  property, F+B+C = 180° 
Thus, B = 180°-F - C
              = 180° -117° - 22°
              =  41°
Similarly, D = 180° -40° - 63° (Triangle sum  property,)
                    = 77°