Answer :

Answer:

The sum of the exterior angles of any polygon is always 360 degrees. In a pentagon, each exterior angle measure is therefore 360°/5 = 72 degrees.

Since one of the exterior angles is given as 70 degrees, we can determine that one interior angle (supplementary angles) is 72° - 70° = 2 degrees.

However, the question states that all interior angles except for two are equal to x. Since two of the interior angles are already identified (50° and 2°), the remaining two must sum up to:

180° (sum of interior angles in a pentagon) - 50° - 2° - 100° = 28°

Therefore, each of the remaining two interior angles (represented by x) must be:

28° / 2 = 14°

So, x = 14°.

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