Answer:
ΔRMS ≅ ΔRQS by AAS
Step-by-step explanation:
See the diagram attached.
Given that ∠ RMS = ∠ RQS and N is any point on RS and ∠ MRS = ∠ SRQ.
Therefore, between Δ RMS and Δ RQS, we have
(i) ∠ RMS = ∠ RQS {Given}
(ii) ∠ MRS = ∠ SRQ {Also given} and
(iii) RS is the common side.
So, by angle-angle-side i.e. AAS criteria we can write ΔRMS ≅ ΔRQS. (Answer)
We are given statement " gained 20 pounds and loses 15 pounds".
<em>Note: We take plus or positive sign for gain word and we take minus or negative sign for the loses word.</em>
Gained 20 means +20.
Loses 15 mean -15.
Therefore, we can setup an expression as:
<h3>+20 -15.</h3>
20 is a positive number and 15 is a negative number.
Because we have opposite signs of numbers, we would subtract them.
20-15 = 5 pounds.