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By Angle-Angle i.e. AA theorem we can say that Δ KOM and Δ LNM are similar.

Step-by-step explanation:

See the attached diagram.

We have to prove that Δ KOM and Δ LNM are similar.

Now, radius OK and NL are perpendicular to OM and hence,  

∠ KOM and ∠ LNM are right angles i.e. 90°.

Now, between Δ KOM and Δ LNM,

(i) ∠ KOM = ∠ LNM = 90°

(ii) ∠ M is a common angle.

Hence, by Angle-Angle i.e. AA theorem we can say that Δ KOM and Δ LNM are similar. (Answer)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.