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Temka [501]
2 years ago
14

The measure of an interior angle of a triangle is 10n the measure of the corresponding exterior angle is 30 more then half the m

easure of the interior angle. What are the interior and exterior angles?
Mathematics
1 answer:
prohojiy [21]2 years ago
5 0

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

10n+(5n+30)=180

solve for n

10n+5n=180-30

15n=150

1n=10

<em>Find the measure of the interior angle</em>

10n=10(10)=100^o

<em>Find the measure of the exterior angle</em>

(5n+30)=5(10)+30=80^o

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