Question

1. Can you have a triangle with two right angles?
2. Can you have a triangle with two obtuse angles?
3. Can you have a triangle with two acute angles?
4. Can you have a triangle with all the three angles greater than 60
5. Can you have a triangle with all the three angles equal to 60°?
6. Can you have a triangle with all the three angles less than 60°?​

Answer 1

Answer:

1.No

2.No

3.Yes

4.It can never be possible

5.Yes, ofcourse

6.No,it is not possible

Answer 2

Answer:

1. No.

2. No.

3. Yes.

4. No.

5. Yes.

6. No.

Explanation:

1.

If you try to make such a triangle, let the third angle be x. The other two are 90°. {90°>x°>0°}

Now, adding all the angles, we have,

90° + 90° + x° must be equal to 180°. {Angle sum property}

→180° + x, which is not Equal to 180°.

Hence, you can't have such a Triangle.

2.

If you want to make such a triangle, let the third angle be y°. Other two are 90° + x° and 90° + z°.

{Same condition for x, y and z as for x in 1.}

Now,

x° + 90° + z° + 90° + y° must be equal to 180°.

→x° + y° + z° + 180,° which is not equal to 180°.

Hence you can't have such a triangle.

3.

If you try such a triangle, the two angle will be less that 90° and 3rd angle will be Obtuse/Right angle.

4.

If you try such triangle, let all angles be respectively 60° + x°, 60° + y° and 60° + z°.

So, 60° + x° + 60° + y° + 60° + z° must be equal to 180°.

→180° + x° + y° + z°, which is not equal to 180°, hence, you can't have such a triangle.

5.

If you make such a triangle, you will get an equilateral triangle with all sides 60°.

6.

If you try such triangle, let all angles be respectively 60° - x°, 60° - y° and 60° - z°.

So, 60° - x° + 60° - y° + 60° - z° must be equal to 180°.

→180° - x° - y° - z°, which is not equal to 180°, hence, you can't have such a triangle.

{Hope it helped you...}

{Kindly Mark as Brainliest, it's a request...}