Question

find the values off x and y in each of the following diagrams:


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Answer 1

Answer:

Below :

Step-by-step explanation:

Diagram 1 (on the left)

y  =  180 - 120

y  =  60°

x  =  180 - (50 + 60)

x  =  180 - 110

x  = 70°

Diagram 2 (on the right)

x  =  60°  (vertically opposite angles)

y  =  180 - (60 + 40)

y  =  180 - 100

y  =  80°

Answer 2

Answer:

the answer of the first figure is

x=70 and y= 60

the answer of the second figure is

x=60 and y= 80

Step-by-step explanation:

In the 1st figure:  y+50=120(exterior angle = sum of two opposite angles)

                        = y=120-50

                        = 70

x+50+y=180(sum of all angles in a triangle)

70+50+y=180

120+y=180

y=180-120

y=60

In the 2nd figure : x=60(vertically opposite angles)

                           y+40+x=180(sum of all angles in a triangle)  

                         y+ 40+60=180

                        y+100= 180

                       y=180-100

                       y= 80