Question

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

Answer 1

x=33

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

Answer 2

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.