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one of the Interior angles of a triangle is equal to 30 degrees and one of the exterior angles is equal to 40 degrees find the remaining interior angles of this triangle

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If one of the exterior angles is 40, you can find its adjacent interior angle by subtracting 40 from 180. This is 40, so the triangle has 2 interior angles that are equal to 40. Now we have 2 of 3 interior angles. The sum of the measures of the interior angles of a triangle is 180, so we can set this equation up:

x + 40 + 40 = 180
x + 80 = 180
x = 100

So the triangle's angles have measures of 40,40 and 100 degrees.

Answer:

Remaining interior angles are 10 degree  and 140 degree

Step-by-step explanation:

One of the exterior angles is equal to 40

Angles in a straight line is 180 degree.

The interior angle adjacent to the exterior angle is 180-40=140

Given: one of the Interior angles of a triangle is equal to 30 degrees

So two interior angles are 30  and 140 degrees

Sum of angles in a triangle is 180 degree

To find the remaining interior angle we subtract the two interior angles from 180 degree

[tex]180-30-140 = 10[/tex]

Remaining interior angles are 10 degree  and 140 degree

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