Answer:
x = 4
Explanation:
The interior angles of a triangle sum to 180°.
Therefore:
⇒ (5x + 20)° + (3x + 14)° + 114° = 180°
⇒ 5x + 20 + 3x + 14 + 114 = 180
Collect like terms:
⇒ 5x + 3x + 20 + 14 + 114 = 180
Combine like terms:
⇒ 8x + 148 = 180
Subtract 148 from both sides:
⇒ 8x + 148 - 148 = 180 - 148
⇒ 8x = 32
Divide both sides by 8:
⇒ 8x ÷ 8 = 32 ÷ 8
⇒ x = 4
Solution