Question

if the angles of a triangle measure x, 2x, and 3x, then find the measure of the smallest angle

Answer 1

Answer:

30°

Step-by-step explanation:

x+2x+3x=180°

6x=180°

x=30°

smallest angle x=30°

Answer 2

Required Answer:

Here, we are given that :

• Measure of first angle → x°

• Measure of second angle → 2x°

• Measure of third angle → 3x°

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We have to find out:

• Measure of the smallest angle. (x°)

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Calculation:

We know that,

• ● Sum of the angles of ∆ = 180° ● •

Now, according to the question:

$\longrightarrow$ x° + 2x° + 3x° = 180°

$\longrightarrow$ 6x° = 180°

$\longrightarrow$ x° = $\sf { \dfrac{180°}{6}}$

$\longrightarrow$ x° = 30°

Therefore, measure of the smallest angle (x°) is 30°.

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Extra Information:

● Sum of the measure of interior angles of polygons:

• Triangle → 180°
• Quadrilateral → 360°
• Hexagon → 720°
• Pentagon → 540°

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