What is 1k+3=5k-3 algebra

Explanation with Proof is given below.

Step-by-step explanation:

Given:

In  Δ ABC,

m∠ A = 59°

m∠ B = 37°

In Δ A'B'C'

m∠ A' = 59°

m∠ C' = 84°

To Prove:

Δ ABC ~ Δ A'B'C'

Proof:

In  Δ ABC we have,

m∠ A + m∠ B + m∠ C = 180° {Angle Sum Property of Triangle}

Substituting the given values we get

Now,

In  Δ ABC and Δ  A'B'C'

∠ A ≅ ∠ A'     …………..{measure of each angle is 59°}

∠ C ≅ ∠ C'     ……….{measure of each angle is 84°}

Δ ABC ~ Δ A'B'C'  ….{ By Angle-Angle Similarity Postulate} Proved