Answer: The value of ∠K is 56°.
Step-by-step explanation:
Given: A pair of triangles Δ EDC ~ Δ KGH
∠E = 56° and ∠H = 34° .
Since corresponding angles of similar triangles are equal.
⇒∠E = ∠K ...(i)
⇒∠D = ∠G
⇒∠C = ∠H
∠E = 56° [Given]
⇒∠K = 56° [From (i)]
Hence, the value of ∠K is 56°.
