The graph illustrates a reflection of angel qpr what line is angel qpr reflected across to create q'p'r'

The line y =x  across  which angle QPR is reflected  to create Q'P'R'.

Step-by-step explanation:

We are given that  a triangle PQR whose vertices are P is at (1,-4),Q at (2,-2) and R at (4,-5).

The image of triangle PQR is triangle P'Q'R'  obtained after reflection.

The coordinates of P' is (-4,1).

The coordinates of Q' is (-2,2).

The coordinated of R' is (-5,4).

We have to find the line that is angle QPR reflected across to create Q'P'R'.

We can see that the transformation rule is given by

Therefore, the reflection line y=x across which angle QPR is reflected to create Q'P'R'.

y=x

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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