Question

Plz answer my question correctly ​

Answer 1

Answer:

hey here is your answer

pls mark it as brainliest

Step-by-step explanation:

so here angle pqt is an exterior angle of triangle pqr

so by exterior angle property of triangle

we get

angle pqt=angle prq+angle rpq

here angle pqt=105 degrees (given)

so thus angle prq+angle rpq=105 (1)

also here angle spr=130 degrees

so also it is an exterior angle of triangle prq

so by exterior angle property of triangle

we get

angle spr=angle rqp+angle prq

ie angle rqp+angle prq=130 (2)

adding (1) and (2)

we get

angle rqp+angle rpq+2.angle prq=235

so angle rqp+angle rpq=235-2.angle prq (3)

applying angle sum property in triangle pqr

we get

angle rqp+angle rpq+angle prq=180

ie 235-2.angle prq+angle prq=180 from (3)

so angle prq=55 degrees