Question

ABCD is a quadrilateral.

a) Calculate the value of x.
to
+
D
1380
12x°
b) When ABCD is drawn to scale, would
the lines AD and BC be parallel or not? A
You must justify your answer without
using a scale drawing.
B
Diagram not drawn to scale
+

Answer 1

Explanation:

∑ angles = 360°

2x + 90 + x + 3x = 360

6x = 270

x = 45°

:::::

∠A = ∠B, so AD and BC are parallel.