Question

P, Q, R & S form the vertices of a quadrilateral.
∠
PQR = 74° and
∠
RSP = 129°.
Find the value of
∠
SPQ.

Answer 1

Answer:

Incomplete question. Sorry.

Step-by-step explanation:

Answer 2

P, Q, R & S form the vertices of a quadrilateral.  ∠  PQR = 74° and  ∠  RSP = 129°.

The correct question is,

P, Q, R & S form the vertices of a quadrilateral.  ∠  PQR = 74° and  ∠  QRS = 129°.

Given,

PQRS is a quadrilateral.

∠  PQR = 74° and  ∠  RSP = 129°.

In a quadrilateral opposite angles are supplementary pairs that is, the sum of the opposite angles is equal to 180°

Therefore we have,

∠  PQR + ∠  RSP = 180°

74° + ∠  RSP = 180°

∠  RSP = 106°

∠  QRS + ∠ SPQ = 180°

129° + ∠  SPQ = 180°

∠  SPQ = 51°