Question

In the given figures, find the values of x and y​

Answer 1

Answer:

1 . x + 40° + 95° = 180° ( angle sum property )

x + 135° = 180°

x = 180° - 135 °

x = 45°

y + 110° + 45° = 180° ( angle sum property )

y + 155° = 180°

y = 180° - 155°

y = 25°

2. x = 35° + 40° ( exterior angle property of a triangle )

x = 75°

y = 75° + 38° ( exterior angle property of a triangle )

y = 113°

Step-by-step explanation:

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Answer 2

Answer:

i)Δfbc=180°

40+95+x=180

135+x=180

x=45

in triangle Δabd

x+110+y=180

x=45

110+45+y=180

=155+y=180

y=25

ii)in triangle abc

35+40+t=180

t=180-75

t=105

x+t=180(angle sum property)

x+105=180

x=180-105

x=75

x+38+y=180

x=75

75+38+d=180

d=67

d+y=180(angle sum property)

d=67

y=180-67=113

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Step-by-step explanation: