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Properties of Triangles — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsProperties of Triangles3 Marks
Question
Compute the value of x in the following figure.
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Answer

From the given figure, we can say that:
$\angle \text{ABC}+120^\circ=180^\circ$ (Linear pair)
$\angle \text{ABC}=60^\circ$
We can also say that:
$\angle \text{ACB}+110^\circ=180^\circ$ (Linear pair)
$\angle \text{ACB}=70^\circ$
We know that the sum of all angles of a triangle is 180°
Therefore, for $\triangle \text{ABC}:$
$\text{x}+\angle \text{ABC}+\angle \text{ACB}=180^\circ$
$\text{x}=50^\circ$

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