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How do you find the interior angle of a triangle given the exterior angle?

How do you find the interior angle of a triangle given the exterior angle?

Because the interior angles of a triangle add to 180°, and angles c+d also add to 180°:

  1. The interior angles of a triangle add to 180°:a + b + c = 180°
  2. Angles c and d make a straight angle, which is 180°:d + c = 180°
  3. So d + c equals a + b + c:d + c = a + b + c.
  4. Subtract c from both sides:d = a + b.

What will be the measure of the supplement of 125 angle?

55 degrees
Supplement of 125 degree = 180 – 125 = 55 degrees.

How do you find the exterior of a triangle?

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

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How many exterior angles does a triangle have?

6 exterior angles
Let us recall a few common properties about the angles of a triangle: A triangle has 3 internal angles which always sum up to 180 degrees. It has 6 exterior angles and this theorem gets applied to each of the exterior angles.

What is the exterior angle of triangle?

An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. The sum of the exterior angle and the adjacent interior angle that is not opposite is equal to 180º.

Do exterior angles add up to 360?

Summed, the exterior angles equal 360 degreEs. A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees.

What is the supplement of 120 degree angle?

60°
The supplementary angle of 120° is 60°.

What is the complement of 125?

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The complement of 1125 is the angle that when added to 1125 forms a right angle (90° ).

What is outer angle?

The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. Another example: When we add up the Interior Angle and Exterior Angle we get a straight line 180°. They are “Supplementary Angles”.

What is exterior angle of a triangle?