Question

one of the exterior angle of a triangle Is 80 degree and the interior opposite angles are in the ratio 5: 3 find the angles of the triangle
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Answer 1

Solution:


Given that the ratio is 5:3

Angle 1 = (5 * 80)/8 = 50 degrees

Angle 2 = (3 * 80)/8 = 30 degrees

Therefore, the angle 3 should be

180 - (50 + 30) = 100 degrees.

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.


Hope this will be helpful.