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Find the measures of the interior angles of a triangle whose two exterior angles equal to 120° and 150°

Respuesta :

60, 30, and 90 degrees.

180 - 120 = 60
180 - 150 = 30
Since a triangle is 180 degrees, and we already know 2 of them are 60 and 30 degrees, the last one would be 90 degrees.

Three interior angles of the given triangle are 60°, 30°, and 90°.

What is a triangle?

A triangle is a two-dimensional geometrical figure that has three sides, three vertices, and three interior angles.

Given,  two exterior angles of a triangle are 120° and 150°.

Therefore, the first interior angle is

[tex]= (180 - 120)[/tex] degrees

[tex]= 60[/tex] degrees

The second interior angle is

[tex]= (180 - 150)[/tex] degrees

[tex]= 30[/tex] degrees

The third interior angle is

[tex]= [180 - (60+30)][/tex] degrees

= 90 degrees

Learn more about a triangle here:

https://brainly.com/question/12834063

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