Question

PQRS is a rhombus whose one diagonal is PR. If angle RPQ=35°, Find angle RSP.​

Answer 1

Answer:

the answer is :-

angle RSP=110 degree

Step-by-step explanation:

Given=PQRS is a rhombus

angle RPQ=35 degree

To find=angle RSP

Solution = PQRS is a rhombus (given)

angle RPQ=35 degree (given)

We know that diagonals of rhombus bisects the angle

therefore, angle RPS= angle RPQ = 35 degree (I)

Now, angle SPQ= angle RPQ+angle RPS

=35+35

=70 degree (II)

We know that alternative angles are supplementary in rhombus

therefore, angle SPR+ angle RSP=180 degree

=> 70+angle RSP=180 degree

=>angle RSP=180-70=110 degree