Question

if X , 2x and 30 are the angles of traingle , find X and 2x

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Answer 1

Answer -

• x = 50°.
• 2x = 100°.

To find -

• The value of "x" and "2x".

Step-by-step explanation -

• Here, it is given that x, 2x and 30° are the angles of a triangle. We have to find the value of x and 2x. Let's use the Angle Sum Property!

We know that -

$\underline{\boxed{\sf Sum \: of \: all \: angles_{(triangle)} = 180^{\circ}}}$

Here -

• The angles are x, 2x and 30°.

Therefore -

$\longrightarrow \mathfrak{x + 2x + 30 = 180}$

$\longrightarrow \mathfrak{ 3x + 30 =180}$

$\longrightarrow \mathfrak{3x = 180 - 30}$

$\longrightarrow \mathfrak{3x = 150}$

$\longrightarrow \mathfrak{x = \cancel{\dfrac{150}{3}}}$

$\longrightarrow \mathfrak{x = 50^{ \circ}}$

• The value of x is 50°.

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Hence -

$\mapsto\bf x = 50^{ \circ} .$

$\mapsto \bf 2x = 2 \times 50 = 100^{ \circ} .$