Question

pls answer 15 pointa​

Answer 1

Answer:

Step-by-step explanation:

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Look at the photo below for the answer.

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Answer 2

Answer:

See below.

Step-by-step explanation:

<QPM = <RPM

<MPN + <PMN = 90

<PMN = 90 - <MPN

< Q + <R = 180 - 2QPM

So 1/2( <Q + <R) = 90 - QPM

<PMN = <RPM + <R

<PMN + <RPM + <R = 90.

180 - <PMN = <Q + < RPN

So we have :

<Q + <RPM = 180 - <PMN

<R + <RPM = 90  - <MPN

Subtracting:

<Q - <R = 90  - <PMN + < MPN

=     90 - (90 - <MPN) + <MPN

So <Q - <R = 2<MPN

MPN = 1/2 (<Q - <R).