Measure of interior angles of a triangle are x -10- x -40- and 2 x -30- What is the value of x-A- 30-B- 40-C- 20-D- 10-

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Angle Sum Property of a Triangle

Measure of in...

Question

Measure of interior angles of a triangle are $(x + 10^{\circ}), (x + 40^{\circ})$ and $(2 x - 30^{\circ})$ . What is the value of x?

30^{\circ}

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40^{\circ}

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20^{\circ}

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10^{\circ}

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Solution

The correct option is B $40^{\circ}$
Given that the measure of interior angles of the triangle are $(x + 10^{\circ})$ , $(x + 40^{\circ})$ and $(2 x - 30^{\circ})$ .

Sum of the interior angles of a triangle $= 180^{\circ}$ (Angle sum property)

$\Rightarrow (x + 10)^{\circ} + (x + 40)^{\circ} + (2 x - 30)^{\circ} = 180^{\circ}$

$\Rightarrow 4 x + 50^{\circ} - 30^{\circ} = 180^{\circ}$

$\Rightarrow 4 x = 160^{\circ}$

$\Rightarrow x = 40^{\circ}$

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Measure of interior angles of a triangle are (x+10∘),(x+40∘) and (2x−30∘). What is the value of x?

The correct option is B 40∘Given that the measure of interior angles of the triangle are (x+10∘), (x+40∘) and (2x−30∘). Sum of the interior angles of a triangle =180∘ (Angle sum property) ⇒(x+10)∘+(x+40)∘+(2x−30)∘=180∘ ⇒4x+50∘−30∘=180∘ ⇒4x=160∘ ⇒x=40∘

Measure of interior angles of a triangle are $(x + 10^{\circ}), (x + 40^{\circ})$ and $(2 x - 30^{\circ})$ . What is the value of x?