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The measure of an exterior angle of a triangle is x. The measure of the adjacent interior angle is at least twice x. List three possible solutions for x.​

Sagot :

Elcharly64idn

Answer:

x=60°

x=48°

x=21°

Step-by-step explanation:

Inequalities

The sum of the exterior and the interior angle of a triangle is 180°.

The measure of an exterior angle of a triangle is called x, thus the interior angle is 180-x.

This angle is said to be at least twice x, thus:

180 - x ≥ 2x

Adding x:

180 ≥ 3x

Dividing by 3:

60 ≥ x

Swapping the inequality:

x ≤ 60°

The measure of x must be less or equal to 60°.

Three possible solutions are:

x=60°

x=48°

x=21°

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