Question

The angles of a thingals in the seatis
1:2:38 Find the mosold of eacher
of the angle​

Answer 1

Correct Question:

The angles of a triangle are in ratio 1 : 2 : 3 . Find the measure of each angle.

Answer:

30°, 60°, 90° are the angles of the triangle respectively.

Explanation

A triangle is a polygon, and by angle sum property, the sum of all angles of a triangle is 180°.

let the common factor between the three angles of a triangle is "a"

Then,

The first angle of the triangle = 1x

The second angle of the triangle = 2x

The third angle of the triangle = 3x

The equation becomes,

⟹ 1x + 2x + 3x = 180°

⟹ ( 3 + 2 + 1 )x = 180°

⟹ 6x = 180°

⟹ x = 180°/6

⟹ x = 30°

the common factor between the three angles is 30°

Measure of first angle:

⟹ 1x

⟹ 1(30°)

⟹ 30°

Measure of second angle:

⟹ 2x

⟹ 2(30°)

⟹ 60°

Measure of third angle:

⟹ 3x

⟹ 3(30°)

⟹ 90°

30°, 60°, 90° are the angles of the triangle respectively.

Answer 2

Correct Question :-

• The angles of a triangle are in the ratio 1:2:3. Then find the Measures of each angle of the Triangle.

Given :-

• The angles of a triangle are in the ratio 1:2:3

To Find :-

• The measure of each of the angle.

Solution :-

Let the First angle be x

Let the Second angle be 2x

Let the Third angle be 3x

★ According to the Question ★

⇛ The Angle Sum property of triangle is 180°

⇛ x + 2x + 3x = 180

⇛ 6x = 180

⇛ x = 180/6

⇛ x = 30°

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★ Measure of Angles ★

• First Angle = x = 30°
• Second Angle = 2x = 2 × 30 = 60°
• Third Angle = 3x = 3 × 30 = 90°

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Verification :-

⇛ Sum of angles = 180°

⇛ 30 + 60 + 90 = 180°

⇛ 180° = 180°

Hence, Verified

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