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An exterior angle of a triangle is $105°$ and its two interior opposite angles are equal. The measure of each of these two angles is?
Given :
An exterior angle of the triangle $=$ 105 degrees.
Interior opposite angles are equal.
To do :
We have to find the measure of angles.
Solution :
Let the measure of each interior opposite angle be x degrees.
We know that,
The exterior angle of a triangle is equal to the sum of its opposite interior angles.
Therefore,
$x+x=105$
$2x=105$
$x=\frac{105}{2}$
$x=52.5$
The measure of each of the opposite interior angles is 52.5 degrees.
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