Question

Describe the relationship between angle E and angle K. What is the measure for angle K?

Answer 1

Explanation:

angle e=angle k.

angl e is equal to g because they were verticle, (h=f too) g=k because they are corresponding angles, and from looking at how e was equal to g, and g was equal to k, then we can safely assume that angle e is equal to angle k.

Answer 2

∠E = ∠K

Explanation:

The relationship between ∠E and ∠K can be found from the following.

i) ∠E = ∠G .... as they are vertical angles

ii) ∠H = ∠F .... as they are vertical angles

iii) ∠G = ∠K .... as they are corresponding angles

iv) Therefore from equations i) and iii) we get ∠E = ∠K and they are alternate exterior angles.

The measure for angle K can be found from the equation given by

i) ∠K + ∠J = 180° ∴ ∠K = 180° - ∠J

ii) ∠K + ∠L = 180° ∴ ∠K = 180° - ∠L