Question

Find the value of angle k for the following fig.


plz step by step​

Answer 1

Answer:

The angle which is not given in the bigger triangle is = 180-(30+34) = 116°

The corresponding angle in the smaller triangle = 64°

The angle below the k = 180-(45+64) = 71°

So the value of k is = 109°

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Step-by-step explanation:

Answer 2

Answer:

109°

Step-by-step explanation:

Consider this figure as given in the attachment.

∠BCD = ∠BAC + ∠ABC (exterior angle)

∠BCD = 34° + 30°

∠BCD = 64°

Now,

∠BED (∠K) = ∠BCD + ∠CDE (exterior angle)

∠K = 64° + 45°

∠K = 109°

Hence, the value of ∠K is 109°.