In a triangle [tex]ABC[/tex] the measure of angle [tex]C[/tex] is equals to [tex](180 - 3\alpha )\°[/tex].
What is triangle?
" Triangle is defined as the two dimensional geometrical shape with three sides , three vertices and three angles enclosed in it.Sum of all the interior angles in a triangle is equals to [tex]180\°[/tex]. "
According to the question,
In a triangle [tex]ABC[/tex],
Given measure of angles,
[tex]m\angle A = \alpha \\\\m\angle B = 2\alpha[/tex]
Sum of all the interior angles in a triangle is equals to [tex]180\°[/tex].
Therefore,
[tex]m\angle A + m\angle B + m\angle C = 180\°[/tex] ________[tex](1)[/tex]
Substitute the value of [tex]m\angle A , m\angle B[/tex] in [tex](1)[/tex] we get,
[tex]\alpha + 2 \alpha + m \angle C = 180\°\\\\\implies 3\alpha + m \angle C = 180\°\\\\\implies m \angle C = 180\°- 3\alpha[/tex]
Hence , in a triangle [tex]ABC[/tex] the measure of angle [tex]C[/tex] is equals to [tex](180 - 3\alpha )\°[/tex].
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