Question

the measure of an exterior angle of a triangle is always​

Answer 1

Answer:

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

Answer 2

a) Greater than its adjacent interior angle.

b) Less than its adjacent interior angle.

c) Greater than either remote interior angle.

d) Less than either remote interior angle.

 

Option (c) The exterior angle of a triangle is always greater than either remote interior angle.

• When three lines are joined in such a way that the formation forms three angles too, in the triangle shape.
• When one side of the triangle is extended then the angle created between that extended side and the other side of the triangle is called an exterior angle.
• When the triangle's two near sides make an angle that is the interior angle.
• In the given image ΔABC, interior angles are a, b, and c.
• And the exterior angles created when sides are extended in the ΔABC are, f, e, and d.
• By adding opposite two interior angles will get the exterior angle.
• So, <f = <b + <c.
• <e =  < a + <c.
• <d = <b + <a.
• So, since the exterior angle is the result of the addition of opposite exterior angles, it will be greater than either interior angle of the triangle.

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