Question

find the value of x in the following figure​

Answer 1

Answer:

x = 130 degrees

Step-by-step explanation:

explanation in the attachment.

ThAnK yOu!

Answer 2

first naming the triangle ABC

ACD = 120°

ACD + ACB = 180° (angles in linear pair)

120° + ACB = 180°

ACB = 180° - 120°

ACB = 60°

similarly

FAB = 110°

FAB + BAD = 180° (angles in linear pair)

110° + BAD = 180°

BAD = 180° - 110°

BAD = 70°

In triangle ABC

ACB + BAD + DBA = 180° (sum of all angles in triangle)

PUT THE VALUES....

60° + 70° + DBA = 180°

130° + DBA = 180°

DBA = 180° - 130°

DBA = 50°

now see

DBE + DBA = 180° (angles in linear pair)

DBE + 50° = 180°

DBE = 180° - 50° = 130°

hence value of angle DBE is 130°

x = 130°