Question

Find values of the unknowns X and Y in the following diagrams . Explain. plzz solve fast​

Answer 1

Step-by-step explanation:

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Answer 2

1. y = 180-120 ( linear pair)

y = 60°

x+y+50 = 180 ( angle sum property)

x+60+50 = 180

x+110 = 180

x = 180-110

x = 70°

2. x = 80° ( vertically opposite angles)

x+y+50 = 180 ( angle sum property)

80+y+50 = 180

130+y = 180

y = 180-130

y = 50°

3. 50+60+y = 180 ( angle sum property)

110+y = 180

y = 180-110

y = 70°

x = 180-y ( linear pair)

x = 180-70

x = 110°

4. x = 60° ( vertically opposite angles)

x+y+30 = 180 ( angle sum property)

60+y+30 = 180

90+y = 180

y = 180-90

y = 90°

5. y = 90° ( vertically opposite angles)

x+x+y = 180

2x+90 = 180

2x = 180-90

2x = 90

x = 90/2

x = 45°

6. interior angles of ∆ LET be x (vertically opposite angles)

x+x+x = 180 ( angle sum property)

3x = 180

x = 180/3

x = 60°