Answer:
x = 12
Explanation:
Given interior angles,
→ x + 77°
→ x + 74°
→ x + 62°
→ x + 99°
Now we have to,
→ Find the required value of x.
We know that,
→ Sum of interior angles in a circle is 360°.
Forming the equation,
→ (x + 77) + (x + 74) + (x + 62) + (x + 99) = 360
Then the value of x will be,
→ (x + 77) + (x + 74) + (x + 62) + (x + 99) = 360
→ (x + x + x + x) + (77 + 74 + 62 + 99) = 360
→ 4x + 312 = 360
→ 4x = 360 - 312
→ 4x = 48
→ x = 48/4
→ [ x = 12 ]
Hence, the value of x is 12.