Question

In the figure, AB//CD. Find the value of e and of f.​

Answer 1

Answer:

From the given figure;

AB || CD , AE and AF are transversal

• When AE is transverse

Angle EAB = 69° (corresponding angles)

$2e° + 30° = 69° \\ 2e° = 69° - 30° \\ 2e°= 39°\\ e °= \frac{39°}{2} \\ \boxed{e° = 19.5°}$

• When AF is transverse

Angle FAB = f° (corresponding angles)

$f °= 2e° \\ f°= 2 \times 19.5° \\ \boxed{ f °= 39°}$