The measure of m<QRX and m<QRP are 129 and 51 degrees respectively.
The sum of the interior angle of a triangle is 180 degrees, hence;
m<QPR + m<QRP + M<PQR = 180
Substitute the given parameters
49 + m<QRP + 80 = 180
m<QRP + 129 = 180
m<QRP = 180 - 129
m<QRP = 51 degrees
The sum of interior angle is equal to the exterior
m<QPR + M<PQR = m<QRX
m<QRX = 49 + 80
m<QRX = 129 degrees
Hence the measure of m<QRX and m<QRP are 129 and 51 degrees respectively.
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