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Usimov [2.4K]
1 year ago
8

The sum of two exterior angles of an isosceles triangle is equal to 240°. What are the measures of the interior angles?

Mathematics
2 answers:
mamaluj [8]1 year ago
6 0

Answer:

60 60 60

Step-by-step explanation:

WINSTONCH [101]1 year ago
4 0

Let the two equal interior angles of the isosceles triangle be x and x.

Then, the corresponding exterior angles are 180 - x and 180 - x.

It is given that the sum of the exterior angles is 240°.

Therefore, (180 - x) + (180 - x) = 240

360 - 2x = 240

360 - 240 = 2x

2x = 120

x = 60°

Hence, the measures of each interior angles is 60°.

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