Question

value of x in adjoining figure​

Answer 1

Answer:

The value of x is 50°

Step-by-step explanation:

Consider the diagram attached.

We know that vertically opposite angles of intersecting lines are equal.

Therefore y = 110°

We know that angles on a straight line add upto 180°

=> y + z = 180°

=> 110° + z = 180°

=> z = 180° - 110°

=> z = 70°

We know that the the sum of co-interior angles is 180°

=> 70° + 3x - 40° = 180°

=> 3x + 30° = 180°

=> 3x = 180° - 30°

=> 3x = 150°

=> x = 50°

Therefore the value of x is 50°