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18 votes
Triangle ABC is shown with exterior ∠z.

Determine m∠z.

49°

97°

131°

146°

Triangle ABC is shown with exterior ∠z. Determine m∠z. 49° 97° 131° 146°-example-1
User Sergey Tihon
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2 Answers

18 votes
18 votes

Final answer:

It's impossible to definitively determine the measure of m∠z in triangle ABC without additional information. Generally though, the measure of an exterior angle is equal to the sum of the measures of the other two interior angles in the triangle.

Step-by-step explanation:

The question is about finding the measure of an exterior angle (m∠z) of a triangle (ABC). To find this, we need to know the measures of the other two angles in the triangle. However, with the information given in the question, it is not possible to determine the exact value of m∠z. Generally, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. So, if we knew the measures of angles A and B, we could find m∠z by adding the measures of angles A and B. Given additional information, we could use this method to find m∠z.

Learn more about Exterior angle of a triangle

User Alexey Markov
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3.3k points
14 votes
14 votes

Answer:

(c) 131°

Step-by-step explanation:

Given exterior angle z of a triangle with remote interior angles 97° and 34°, you want the measure of angle z.

Remote interior angles

An exterior angle is equal to the sum of the remote interior angles.

Application

z = 97° +34°

z = 131°

User Spottedmahn
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2.6k points