Math, asked by sahananeel07, 4 months ago

pls find the value of x
will mark u as brilliant
pls step by step explanation
pls step by step explanation
will sure mark u as brilliant
this is my home work

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Answers

Answered by Anonymous
2

Answer:

\huge\rm\red{AnsWer:}

\bf\green{given:}

In ∆ ABC

  • angle A = 3x
  • angle B = 2x
  • angle C = x

\bf\green{to\:find}

  • measure of x = ?

By angle sum property

sum of all angles of triangle = 180°

➡️ 3x + 2x + x = 180°

➡️ 6x = 180°

➡️ x = 180/6

➡️ x = 30

Please mark as brainliest

Answered by IntrovertLeo
9

Given:

A triangle with

  • 1st angle = x
  • 2nd angle = 2x
  • 3rd angle = 3x

To Find:

The 1st angle that is x of the triangle.

How To Find:

To find the angles of the triangle we will use the property that is \sf{\boxed{Sum\:of\:interior\:angles\:of\:triangle= 180^\circ}} and substitute the value and solve.

Solution:

Using the property,

⇒ Sum of interior angles of triangle = 180°

Substitute the values,

⇒ x + 2x + 3x = 180°

Add the terms in LHS,

⇒ 6x = 180°

Take 6 to RHS,

⇒ x = \dfrac{180}{6}

Divide 180 by 6,

⇒ x = 30°

Now substitute the value.

  • 1st angle = x = 30°
  • 2nd angle = 2x = 2(30) = 60°
  • 3rd angle = 3x = 3(30) = 90°

∴ Therefore the value of x is 30°.

Property Used:

  • Sum of interior angles of triangle = 180°
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