Answer:
The value of x is 63° ⇒ B
Step-by-step explanation:
The rule for finding the sum of the interior angles of a polygon with n sides is S = (n - 2) × 180°
In the given figure
There is a polygon with 5 sides
∵ n = 5
∴ S = (5 - 2) × 180°
∴ S = 3 × 180°
∴ S = 540°
→ We have the measure of 4 angles of them
∵ The sum of the 4 given angles = 119° + 100° + 88° + 116°
∴ The sum of the 4 given angles = 423°
→ To find the 5th angle subtract 423° from 540°
∵ The measure of the fifth angle = 540° - 423°
∴ The measure of the fifth angle = 117°
→ x and 117° are linear pair angles, then their sum is 180°
∵ x + 117° = 180° ⇒ linear pair angles
→ Subtract 117 from both sides to find x
∴ x + 117 - 117 = 180 - 117
∴ x = 63°
