Question

The following figures are not drawn to scale but AB and CD are straight lines. Find x

Answer 1

x = 45°

Explanation:

We know that sum of all angle is 360 ° .

∠KL + ∠LM + ∠MN + ∠KN = 360°

• 90 ° + x + x + 4x = 360°

combine like terms

• 90° + 6 x = 360°

subtract 90° from both side

• 90° - 90° + 6x = 360° - 90°

simplify

• 6x = 270°

divide both side by 6

• 6x / 6 = 270°/6

calculate

• x = 45°

Answer 2

x = 45

Explanation:

The sum of the angles is 360 degrees

90+x+x+ 4x = 360

Combine like terms

90 +6x = 360

Subtract 90 from each side

6x = 360-90

6x = 270

Divide by 6

6x/6 = 270/6

x = 45