SOLUTION: A right triangle has an exterior angle with a measure of 160 degrees. Can you determine the measures of the interior angles? explain

Question 1057122: A right triangle has an exterior angle with a measure of 160 degrees. Can you determine the measures of the interior angles? explain
Found 2 solutions by solve_for_x, math_helper:
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
Yes, you can.

The measure of the interior angle next to the given exterior angle is:

Interior angle = 180 - Exterior angle = 180 - 160 = 20 degrees

Then, you know two of the interior angles of the triangle, and you know that all three angles must sum to 180:

Missing interior angle + Known interior angle + 90 = 180

Missing interior angle = 180 - 90 - Known interior angle

Missing interior angle = 180 - 90 - 20 = 70 degrees

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Since it is a right triangle one angle is
The angle with exterior measure of has interior angle (sum of supplementary angles is )
Finally, the 3rd angle must be (sum of angles of triangle is )
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