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The measure of an interior angle of a triangle is 10n the measure of the corresponding exterior angle is 30 more then half the measure of the interior angle. What are the interior and exterior angles?

Respuesta :

calculista

Answer:

Interior angle 100 degrees

Exterior angle 80 degrees

Step-by-step explanation:

we know that

The sum of an exterior angle of a triangle and its adjacent interior angle is 180 degrees.

we have that

[tex]10n+(5n+30)=180[/tex]

solve for n

[tex]10n+5n=180-30[/tex]

[tex]15n=150[/tex]

[tex]1n=10[/tex]

Find the measure of the interior angle

[tex]10n=10(10)=100^o[/tex]

Find the measure of the exterior angle

[tex](5n+30)=5(10)+30=80^o[/tex]

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