Respuesta :

Answer:

125º

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of its opposite interior angles.

In this case, 146º is the exterior angle and 21º and xº are the interior angles.

We can set up an equations 146=21+x

By subracting 21, we find that x=125

Answer:

[tex]\boxed{\boxed{\tt x=125^{\circ}}}[/tex]

Step-by-step explanation:

To solve this problem we need to apply the triangle exterior angle property.

*Exterior angle of a triangle is equal to the sum of its two opposite interior angles.*

146 °  here, is an exterior angle of the triangle, and 21 °/x are opposite interior angles.

[tex]\tt 146^{\circ}=21^{\circ}+x[/tex]

Switch sides:

[tex]\longmapsto\tt 21^{\circ}+x=146^{\circ}[/tex]

Subtract 21 from both sides:

[tex]\longmapsto\tt 21^{\circ}+x-21^{\circ}=146^{\circ}-21^{\circ}[/tex]

[tex]\longmapsto\tt x=125^{\circ}[/tex]

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