Question

5.The three angles of a triangle are in the ratio 1:2:1. Find all angles of the triangle.

Answer 1

Answer:

Let the angles be X, 2X, X

We know the sum of all angles of a triangle = 180 degree

therefore

X + 2X + X = 180

4X = 180

X = 45 degree

then the angles are 45 , 90 , 45

Answer 2

$\Large{\underline{\underline{\bf{QuEsTiOn:-}}}}$

The three angles of a triangle are in the ratio 1:2:1. Find all angles of the triangle.

$\Large{\underline{\underline{\bf{SoLuTioN:-}}}}$

◆━━━━━━◆❃◆━━━━━━◆

lєt,

❥ ∠A=х

❥ ∠B=2х

❥ ∠C=х

nσw,

❥ ∠A+∠B+∠C ↠180°.... ( αnglє sum prσpєrtч)

❥ х + 2х + х ↠ 180°

❥ 4х ↠180°

❥ х↠ 180/4

❥ х↠45°

thєn ,thє αnglєs αrє -

❥ ∠A↠45°

❥ ∠B↠ 2х = 2× 45 = 90°

❥ ∠C↠ 45°

◆━━━━━━◆❃◆━━━━━━◆

$\Large{\underline{\underline{\bf{Additional Information:-}}}}$

❧ What is Angle Sum Property?

❥ Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.