+
m
(x+20)
(4x-5)
Answer:
Submit Answer

Answer:
x=33
Step-by-step explanation:
The angles are same side interior angles and they add to 180 degrees
x+20 + 4x-5 = 180
Combine like terms
5x + 15 = 180
Subtract 15 from each side
5x +15-15 = 180-15
5x = 165
Divide by 5
5x/5 = 165/5
x=33
Now we have to,
→ find the required value of x.
The final output will be,
→ 180°
The equation we use to find the value,
→ (x+20) + (4x-5) = 180°
Let's find the required value of x,
→ (x+20) + (4x-5) = 180°
→ 5x +15 = 180°
→ 5x = 180 - 15
→ x = 165/5
→ [x = 33°]
The value of 4x will be,
→ 4x = 4 × 33
→ 132°
Let's check whether the required value of x is correct or incorrect,
→ (x+20) + (4x-5) = 180°
→ (33+20) + (132-5) = 180°
→ 53 + 127 = 180°
→ 180° = 180°
→ LHS = RHS
Hence, 33° is the required value of x.