Question

find the value of x if lines l and m are parallel​

Answer 1

Answer:

The x+10,2x−30,x are angles of triangle

By angle sum property

Sum of all angles is 180

x+10+2x−30+x=180

4x−20=180

4x=180+20

4x=200

x=

4

200

x=50

Answer 2

Answer:

88.8° and 91.2°

Step-by-step explanation:

As the lines 'l' and 'm' parallel, the sum of the unknown value of the degree will be equal to 180°.

According to the question,

{3(x + 1)} + {2x + 30} = 180

=> 3x + 3 + 2x + 30 = 180

=> 3x + 2x + 3 + 30 = 180

=> 5x + 33 = 180

=> 5x = 180 - 33

= 147

=> x = 147/5

= 29.4

So, find the values of the angles.

2x + 30 = 58.8 + 30

= 88.8°

3(x + 1) = 88.2 + 3

= 91.2°