Question

3
b) i) Can a triangle have angles 50°,70°& 80°?

ii) One angle of a triangle 90°. The other two angles are in the
ratio 3:2. Find the two angles.​

Answer 1

Answer:

no

angles are. 54 and 36

Step-by-step explanation:

gg

Answer 2

Question - 1)

Can a triangle have angles 50°, 70° & 80°?

Answer - 1)

• No, Not possible.

Step by Step Explanation:

Given:

• Three angles = 50°, 70° and 80°.

To Find:

• It formed a triangle or not?

Formula used:

• Angle sum property of triangle.

Now, we know that

⇒ Sum of all angles of triangle = 180°

⇒ 50° + 70° + 80° = 180°

⇒ 200° = 180°

∴ It is greater than sum of triangle. So It is not possible,

Question - 2)

One angle of a triangle 90°. The other two angles are in the  ratio 3:2. Find the two angles.​

Answer - 2)

• Other two angles are 54° and 36°.

Step By Step Explanation:

Given:

• One angle of triangle = 90°
• Other two angles are in the ratio of 3:2.

To Find:

• Other two angles.

Formula used:

• Angle sum property of triangle.

Lets other two angles of triangle be 3x and 2x.

Now, we know that

⇒ Sum of all angles of triangle = 180°

⇒ 90° + 3x + 2x = 180°

⇒ 90° + 5x = 180°

⇒ 5x = 180° - 90°

⇒ 5x = 90°

⇒ x = 90°/5

⇒ x = 18°

So, other two angles are:

• 3x = 3 × 18 = 54°
• 2x = 2 × 18 = 36°