Question

One of the exterior angle of a triangle is 120 degree and interior of opposite angles are in the ratio 2 is to 3 find the angles for class 7th

Answer 1

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Given

• Exterior Angle = 120°
• Ratio of Interior opp. angle = 2 : 3

To Calculate

• All angles of triangle

We KnOw

• Exterior Angle = Sum of 2 Interior Opposite Angle

Solution

Let the angles be 2x and 3x

According to question,

$\bf \implies 2x + 3x = 120$

$\bf \implies 5x = 120$

$\bf \implies x = 120 \div 5$

$\bf \implies x = 24 \degree$

Therefore, Angles are :-

• 2x = 2 × 24 = 48°
• 3x = 3 × 24 = 72°

Now, Let the third angle be y

Angle Sum Property of triangle = 180°

$\bf \implies 48 + 72 + y = 180$

$\bf \implies 120 + y = 180$

$\bf \implies y = 180 - 120$

$\bf \implies y = 50 \degree$

Therefore, Angles of triangle are 48°, 72° and 50°.

Answer 2

Answer:

Given

Exterior Angle = 120°

Ratio of Interior opp. angle = 2 : 3

To Calculate

All angles of triangle

We KnOw

Exterior Angle = Sum of 2 Interior Opposite Angle

Solution

Let the angles be 2x and 3x

According to question,

2x + 3x = 120⟹2x+3x=120

5x = 120⟹5x=120

x = 120 \div 5⟹x=120÷5

x = 24 \degree⟹x=24°

Therefore, Angles are :-

2x = 2 × 24 = 48°

3x = 3 × 24 = 72°

Now, Let the third angle be y

Angle Sum Property of triangle = 180°

48 + 72 + y = 180 ⟹ 48+72+y=180

120 + y = 180 ⟹ 120+y=180

y = 180 - 120 ⟹ y=180−120

y = 50 \degree ⟹ y=50°

Therefore, Angles of triangle are 48°, 72° and 50°.