Question

each angle of an equilateral triangle is of. measure

Answer 1

$\huge\boxed{Answer}$

As from the triangle law, We know

All the angle of Triangle is 180
let Angle of triangle is A, B, C

.•. A + B + C = 180°

As we know, equilateral triangle have all itz angel same
.•. A=B=C

.•. A + A + A = 180°
.•. 3A=180
.•. A=180/3
.•. A=60°

Thus, All the angle of equilateral triangle is $\boxed{60°}$

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Answer 2

Answer :

$\large{\green{\boxed{\green{\boxed{\red{\textsf{60\degree}}}}}}}$

The angle of each Angle of equilateral triangle measures 60°

⟩⟩ $\textsf{\large{How is it 60° ??}}$ ⟨⟨

• Equilateral triangle is a triangle having equal sides.

• If we consider each angle as x

$= > x + x + x = 180$

Reason : All angles in a triangle together measure 180°

=> $\textsf{x+x+x=180}$

=> $\textsf{3x=180}$

=> $x=\frac{180}{3}$

=> $\textsf{x = 60}$

$\therefore$Each angle in equilateral triangle measure 180°

⟩⟩ $\textsf{\large{Extra info}}$⟨⟨

$\textsf{\large{Properties of triangle}}$

→ $\textsf{Exterior Angle property of triangle}$

• The measure of an exterior angle of a triangle is equal to the sum of its corresponding interior opposite angles. ( Refer Attachment number 1 )

• In ∆ ABC the measures of the exterior angle ABC is equal to the sum of the corresponding interior opposite angles angle ACB and angle BAC.

→ $\textsf{Angle sum property}$

• The sum of all angles in a triangle is 180°

→ The sides opposite to equal angles in a triangle are equal. ( Refer Attachment number 2 )

In ∆ XYX , angle Y = 2 angle Z → XZ = XY