Question

the side BC of a triangle ABC is produced in both directions to the point d and E such that angle ABE =130° and angle ACD =110° as shown in the figure.find the value x​

Answer 1

Answer:

Hello mate, please do attach the image

if your image (triangle) is somewhat like this, and x is somewhere here(see image), then I can answer!

Step-by-step explanation:

Angle ABC = 180° - Angle ABE | Linear Pair

= 180° - 130° = 50°

Angle ACB = 180° - Angle ACD | Linear Pair

= 180° - 110° = 70°

Therefore,

Angle ABC + Angle ACD + Angle BAC = 180° | Angle Sum Property of a Triangle

=> 50° + 70° + x = 180°

=> 120° + x = 180°

=> x = 180° - 120°

=> x = 60°

Hope this helps

Feel free to correct me