Q. 25.0( 21 Votes )

# In the fig, suppo

Answer :

According to the problem it is given that,

**∠****R = 125 ^{0}** and

**∠**

**P**and

**∠**

**Q**are supplementary angles.

We know that, the sum of supplementary angles equals to **180 ^{0}**.

So, **∠****P +** **∠****Q = 180 ^{0}**.

We know that the sum of all angles in a quadrilateral is **360 ^{0}**.

So, **∠****P +** **∠****Q +** **∠****R +** **∠****S = 360 ^{0}**.

Substituting the values and conditions we obtain,

⇒ 180^{0} + 125^{0} + ∠S = 360^{0}

⇒ 305^{0} + ∠S = 360^{0}

⇒ ∠S = 360^{0} - 305^{0}

⇒ **∠****S = 55 ^{0}**.

The value of **∠****S** is**55 ^{0}**.

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