Q. 14.3( 36 Votes )

# Two angles of a q

Answer :

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

Let us consider Quadrilateral **ABCD**,

Let **∠****A = 70 ^{0}** and

**∠**

**B = 130**,

^{0}According to the problem, it is told that the remaining two angles are equal,

i.e, **∠****C =** **∠****D**

∴**∠****A +** **∠****B +** **∠****C +** **∠****D = 360 ^{0}**

Now substituting the values and conditions we get,

⇒ 70^{0} + 130^{0} + ∠C + ∠C = 360^{0}

⇒ 200^{0} + 2 × ∠C = 360^{0}

⇒ 2 × ∠C = 360^{0} - 200^{0}

⇒ 2 × ∠C = 160^{0}

⇒ **∠****C = 80 ^{0}**

The values of the other two angles is**70 ^{0}, 70^{0}**.

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