Question

37.S T R P Q Q In the figure above, PQRS is a square. angle PTR = 110°, then find angle TPS.​

Answer 1

Answer:

We know that a square has all angles

90 degree.

by this we can say

angle TSR

=110-90

= 20 degree

35.0

We also know that opposite angles of a rhombus is equal to each other.

Therefore, angle TUR is 20 degree

Answer 2

Answer:

Draw a line XY parallel to PQ∥ST.

It is known that the sum of interior angles on the same side of the transversal is 180∘. 

So, ∠PQR+∠QRX=180∘

110∘+∠QRX=180∘

∠QRX=70∘

Similarly,

∠RST+∠SRY=180∘

130∘+∠SRY=180∘

∠SRY=50∘

Now, by property of linear pair,

∠QRX+∠QRS+∠SRY=180∘

70∘+∠QRS+50∘=180∘

∠QRS=60∘

hope it's help you ❤