The Triangles and Its Properties — MATHS STD 7 — Question
Gujarat BoardEnglish MediumSTD 7MATHSThe Triangles and Its Properties3 Marks
Question
Find the value of the unknown interior angle $x$ in the figure:
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Answer
Given that,
$1^{\text {st }}$ interior angle $=x$ and $2^{\text {nd }}$ interior angle $=90^{\circ}$
Now, according to exterior angle theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two non-adjacent interior angles of the triangle.
Here, Exterior angle $=125^{\circ}$
Sum of interior angles $=x+90^{\circ}$
Using exterior angle theorem, we have
$125^{\circ}=x+90^{\circ}$
$x=125^{\circ}-90^{\circ}$
$x=35^{\circ}$
Hence, the value of $x$ is $35^{\circ}$
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