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One of the interior angles of a triangle is equal to 30°, and one of the exterior angles is equal to 40°. Find the remaining interior angles of this triangle.

User Linello
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2 Answers

4 votes

Answer:

140 and 10

Explanation:

User Vladimir Shutyuk
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3 votes

Answer:

The remaining interior angles of this triangle are 140º and 10º

Explanation:

The sum of the interior angles of a triangle is always 180º.

A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.

The sum of a interior angle with it's respective exterior angle is also always 180º.

We have that one of the exterior angles is equal to 40°. So it's respective interior angle is

40º + A2 = 180º

A2 = 180º - 40º

A2 = 140º

Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:

A1 + A2 + A3 = 180º

A3 = 180º - A1 - A2

A3 = 180º - 30º - 140º

A3 = 180º - 170º

A3 = 10º

User Cheshiremoe
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