Question

The ratio of the measures of three angles of a triangle is 2:3:4.The measure of the largest angle is what
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Answer 1

$\huge\bold{\mathtt{Question⇒}}$

The ratio of the measures of three angles of a triangle is 2:3:4. The measure of the largest angle is what ?

$\huge\bold{\mathtt{Given⇒}}$

The ratio of the measures of three angles of the triangle is 2:3:4.

[To\:find⇒}}[/tex]

The measure of the largest angle.

$\huge\bold{\mathtt{Solution⇒}}$

Let the angles are 2x°, 3x° and 4x°.

We know that :

Sum of all angles of a triangle is 180°.

According to condition,

2x + 3x + 4x = 180

➳ 9x = 180

Divide both sides by 9.

➳ 9x ÷ 9 = 180 ÷ 9

➳ x = 20

$\huge\bold{\mathtt{Hence⇒}}$

x = 20

• 2x° = (2 × 20)° = 40°

• 3x° = (3 × 20)° = 60°

• 4x° = (4 × 20)° = 80°

$\huge\bold{\mathtt{Therefore⇒}}$

The measure of the largest angle is 80°.

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$