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The measure of the exterior angle of the triangle is
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The measure of exterior angle of the triangle is 92°.
As we know, the measure of the exterior angle of triangle is the sum of the two interior opposite angles of the triangle. In other words, we can say that the sum of two interior angles in the triangle is equal to the exterior angle which is supplementary to the third interior angle of the triangle.
So here the exterior angle of the triangle is given by (2x-2)°
the measure of its two interior opposite angles of the triangle will be x° and 45°.
So using the above concept
the measure of exterior angle = sum of the two interior opposite angles
⇒ 2x-2= x+45°
⇒2x-x = 45°+2°
⇒x =47°
the measure of exterior angle will be = 2x-2= (2*47°)-2 =92°
Therefore the measure of exterior angle of the triangle is 92°.
Learn more about the exterior angle
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