Find the value of x of this anglehope u give the correct answer

1.	Find the value of x of this anglehope u give the correct answer
Answer» 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°

Answer»

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°

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