Question

Find x, If AOB is a straight line

Answer 1

Answer:

• x = 31°

Step-by-step explanation:

Given

• AOB is a straight line.
• ∠A = (x + 18)°
• ∠B = (x - 24)°
• ∠0 = 4x°

To find

• x

Solution

↪ Since AOB is a straight line,

↪ We know sum of all the angles on a straight line is equal to 180°

• (x + 18)° + (4x)° + (x - 24)° = 180°
• x° + 18° + 4x° + x° - 24°
• 6x° - 6 = 180°
• 6x° = 186°
• x° = 31°

Hence, the angles are,

• ∠A = (x + 18)° = 49°
• ∠B = (x - 24)° = 7°
• ∠0 = (4x)° = 124°

Verification

• ∠A + ∠B + ∠0 = 180°

↪ Since straight line

• 49° + 7° + 124° = 180°
• 56° + 124° = 180°
• 180° = 180°
• L.H.S = R.H.S