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Step-by-step explanation:
1. we know that sum of angles of linear pair is 180°
So, 7x+5x=180
12x=180
x=15
2. we know that sum of angles of linear pair is 180°
So, 2x+10+3x-10+40=180
5x+40=180
5x=140
x=24
3. w+35=180
w=145°
z=70 (line r is a transverse to line l and m)
70+35+y=180 (angle of triangle sum up to 180)
y=75°
Now, x=180-y-z=180-75-70
x=35°
4. x=180-125
x=55°
y=125 (alternate angles)
z=180-78
z=102°
5. angle DEB=50° (alternate angles)
angle CED = 180- angle DEB
=180-50
angle CED = 130°
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