Two exterior angles of a triangle equal 100° and 150°. Find all the interior angles.

Mathematics

1 answer:

Papessa [141]3 years ago

3 0

Answer:

The interior angles are 80°, 30° and 70°.

Step-by-step explanation:

The sum of interior angle of a triangle is 180°. Two exterior angle of the triangle is given as 100° and 150°. The exterior angle of a triangle is equal to the sum of the opposite interior angle. The exterior angle is the angle between one side of a triangle .

Since angle on a straight line = 180°

Two interior angles can be calculated as follows

180 - 100 = 80°

180 - 150 = 30°

2 interior angles are known.

Note the sum of interior angle of a triangle is 180°

since 2 interior angle are known the third angle can be calculated as follows

180 - 80 - 30 = 70°

The interior angles are 80°, 30° and 70°.

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