Answer:
P = 56°
Explanation:
Straight lines measure 180°, therefore the m∠PRQ is 180 - 140 = 40
The measure of interior angle of a triangle is also 180, we can say that
p/2 + 2p + 40 = 180
simplify to
p/2 + 2p = 140
multiply both sides by 2
p + 4p = 280
5p = 280
p = 56
the measure of the missing angles are
m∠PQR = p/2
m∠PQR = 56/2
m∠PQR = 28°
m∠RPQ = 2p
m∠RPQ = 2(56)
m∠RPQ = 112°