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Yanka [14]
3 years ago
10

Dana draws a triangle with one angle that has a measure of 40∘.

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Answer:

140°

Step-by-step explanation:

<u>Given:</u>

Dana draws a triangle with one angle that has a measure of 40∘.

<u>Question asked:</u>

What is the measure of the angle’s adjacent exterior angle?

Solution:

<u>As we know:</u>

<u><em>Sum of the adjacent interior and exterior angles is 180°.</em></u>

Interior angle = 40°

Adjacent exterior angle = ?

Interior angle + Adjacent exterior angle = 180°

40° + Adjacent exterior angle = 180°

<u>By subtracting both sides by 40°</u>

40° - 40° + Adjacent exterior angle = 180° - 40°

Adjacent exterior angle = 140°

Therefore, the measure of the angle’s adjacent exterior angle will be 140°.

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