Question

*If the measure of any angle of a triangle is 120 degrees, then what is the measure of its exterior angle?* 1️⃣ 120° 2️⃣ 60 ° 3️⃣ 180 ° 4️⃣ 90 °​

Answer 1

Answer:

B

Step-by-step explanation:

Mỗi góc ngoài tam giác có số đo bằng tổng hai góc trong không kề với nó.

- Góc ngoài của tam giác có số đo lớn hơn mỗi góc trong không kề với nó.

mà tổng 3 góc trong tam giác bằng 180 => góc ngoài = 180-120=60

Answer 2

Answer:

The exterior angle corresponding to 120° in a triangle = 60°

Step-by-step explanation:

Given,

The measure of any angle of a triangle is 120 degrees

To find,

The measure of its exterior angle

Solution:

Recall the concepts

The interior angle and the corresponding exterior angle of a triangle are linear pairs.

The sum of angles of a linear pair is 180°

Let A be the exterior angle of the angle with measure 120° in the triangle,

Then we have,

the angles A and 120° are supplementary

A + 120° = 180

A = 180 - 120 = 60°

∴ The exterior angle corresponding to 120° in a triangle = 60°

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