Sketch proper figure and write the answers of the following questions.

i. If A - B - C and /(AC) = 11, /(BC) = 6.5, then /(AB) =?

ii. If R - S - T and /(ST) = 3.7, /(RS) = 2.5, then /(RT) =?

iii. If X - Y - Z and /(XZ) = 3√7, /(XY) =√7, then /(YZ) =?

i. l (AC) = 11, l (BC) = 6.5We know that

For any three-distinct collinear points P, Q and R, the point Q is said to be in between P and R if

d (P, Q) + d (Q, R) = d (P, R), or

l (PQ) + l (QR) = l (PR)

So, we have l (AB) = l (AC) – l (BC) = 11 – 6.5 = 4.5

l (AB) = 4.5

ii. l (ST) = 3.7, l (RS) = 2.5

We know that

For any three-distinct collinear points P, Q and R, the point Q is said to be in between P and R if

d (P, Q) + d (Q, R) = d (P, R), or

l (PQ) + l (QR) = l (PR)

So, l (RT) = l (ST) + l (RS) = 3.7 + 2.5 = 6.2

l (RT) = 6.2

iii.

We know that

For any three-distinct collinear points P, Q and R, the point Q is said to be in between P and R if

d (P, Q) + d (Q, R) = d (P, R), or

l (PQ) + l (QR) = l (PR)

So,