Question

find the value of x

Answer 1

Hey

Here is your answer,

In the triangle ACB,

ABC = 180° - (90+40)
= 180° - 130°
= 50°

In the triangle BED ,
X = 180° - (100+50)
= 180 - 150
= 30°

Hope it helps you!

Answer 2

Sum of angles in a triangle = 180°

.

In triangle ABC:

∠ABC + ∠BCA + ∠CAB = 180°

∠ABC + 90° + 40° = 180°

∠ABC + 130° = 180°

∠ABC ° = 180° - 130°

∠ABC ° = 50°

.

In triangle BDE:

∠BDE + ∠DEB + ∠EBD = 180°

x° + 100° + 50° = 180°

x° + 150° = 180°

x° = 180° - 150°

x° = 30°

.

Answer: x° = 30°