Question

Question : In the given figure, l and m are two intersecting lines. Find the values of x , y and z.​

Answer 1

Answer:

2x+15+3x-10=180

5x+5=180

5x=180-5

=175

5x=175

x=35

Answer 2

3x-10 = 2x+15 (Vertically Opposite Angles)

When 2x and -10 are interchanged :-

3x-2x = 15+10

x = 25°

3x-10+y = 180° (Co-interior angle)

On putting the value of x :-

3×25-10+y = 180°

75-10+y = 180°

y = 180-65

y = 115°

y = z (Vertically Opposite Angles)

z = 115°