Question

list all the pairs of congruent angles write the ratio of the corresponding sides in a statement of proportionality find the value of x

Answer 1

The pair of congruent sides are

`\begin{gathered} PR\cong AC \\ RQ\cong CB \\ PQ\cong AB \end{gathered}`

The ratio of corresponding sides in a statement are

`(PR)/(AC)=(RQ)/(CB)=(PQ)/(AB)`

PQ = 21

AB = x

RQ=24

CB=20

Hence substituting these in x is given as

`\begin{gathered} (24)/(20)=(21)/(x) \\ 24x\text{ = 21}*20 \\ x=(420)/(24) \\ x\text{ =}17.5 \end{gathered}`

Hence x = 17.5