Question

find the value of x of this angle
hope u give the correct answer​

Answer 1

Answer:

X= 130. ok good morning

Answer 2

Solution :-

The given figure is a pentagon as it has 5 sides.

Concept used:

Sum of all angles in a pentagon = 540°

Step-by-step explanation:

(Refer attachment)

By Linear pair of angles,

∠BAF + ∠EAB = 180°

→ 50° + ∠EAB = 180°

→ ∠EAB = 180° - 50°

→ ∠EAB = 130°

Now we have found out 4 interior angles of the pentagon.

For the remaining one;

Again by Linear pair of angles,

∠DEA + ∠DEG = 180°

→ ∠DEA + 60° = 180°

→ ∠DEA = 180° - 60°

→ ∠DEA = 120°

Now, since we obtained all interior angles of the pentagon, their sum must be equal to 540°

∠EAB + ∠ABC + ∠BCD + ∠CDE + ∠DEA = 540°

→ 130° + x + 40° + x + 120° = 540°

→ 2x + 290° = 540°

→ 2x = 540° - 290°

→ 2x = 250°

→ x = 250° ÷ 2

→ x = 125°

∴ The value of x is 125°