Question

Can someone help me with this question and give some explanation :)​

Answer 1

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°