Question

PQR= 74 and RSP= 129 find the value of SPQ

Answer 1

Answer:

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question is incomparable

Answer 2

The complete question is,

P,Q R and S form the vertices of a quadrilateral.

∠ PQR = 74° and ∠ RSP = 129°.

Find the value of ∠ SPQ.

Consider the figure while going through the following steps:

From given figure, it's clear that,

∠ SRQ = 90°

∠ PQR = 74°

∠ RSP = 129°

We know that, the sum of interior angles of a quadrilateral is equal to 360°.

Therefore, we have,

∠ SRQ + ∠ PQR + ∠ RSP + ∠ SPQ = 360°

90° +  74°  + 129° + ∠ SPQ = 360°

293° + ∠ SPQ = 360°

∠ SPQ = 360° - 293°

∴ ∠ SPQ = 67°