Solve your doubts and expand your knowledge with IDNLearn.com's extensive Q&A database. Our platform provides accurate, detailed responses to help you navigate any topic with ease.
Answer:
260°
Step-by-step explanation:
∠RPS +∠PSR +∠SRP= 180° (∠ sum of △PRS)
∠RPS +45° +60°= 180°
∠RPS +105°= 180°
∠RPS= 180° -105°
∠RPS= 75°
Let's focus on quadrilateral PQTU.
Sum of interior angles= (n -2) ×180°, where n is the number of sides
∠QPU
= ∠RPS +∠TPU
= 75° +25°
= 100°
Sum of interior angles= (4 -2) ×180°
m +n +p +100°= 2 ×180°
m +n +p +100°= 360°
m +n +p
= 360° -100°
= 260°