Question

In a quadrilateral PQRS, if angleP=angleR=100° and angleS=75°. then angleQ=

Answer 1

Answer:

85 degrees

Step-by-step explanation:

∠P+∠Q+∠R+∠S=360  

100+angle Q+100+75=360

275+angle Q=360

angle Q=360-275=85 degrees

Answer 2

Answer:

Angle Q = 85°

Step-by-step explanation:

all angles of quadrilateral = 360° ( ASP of quadrilateral )

So, let angle 4 be X

angle1 + angle2 + angle3 + angle4 = 360°

100° + 100° + 75° + X = 360°

275° + X = 360°

X = 360° - 275°

then ,

Angle Q = 85°