Maharashtra BoardEnglish MediumSTD 7MathsProperties of Triangles2 Marks
Question
In a $\triangle\text{XYZ}$, if $\angle\text{X} = 90^\circ$and $\angle\text{Z} = 48^\circ$, find $\angle\text{Y}$.
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Answer
In $\triangle\text{XYZ}$,
$\angle\text{X} = 90^\circ$, and $\angle\text{Z} = 48^\circ$
But $\angle\text{X}+\angle\text{Y}+\angle\text{Z}=180^\circ$ (sum of angles of a triangle)
$\Rightarrow90^\circ+\angle\text{Y}+48^\circ=180^\circ$
$\Rightarrow\angle\text{Y}+138^\circ=180^\circ$
$\Rightarrow\angle\text{Y}=180^\circ-138^\circ$
$\Rightarrow\angle\text{D}=42^\circ$
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