Question

can we have a triangle with two acute angles? ​

Answer 1

$\Large{\underline{\underline{\bf{Solution :}}}}$

Yes, it is possible that an triangle vmcan have two acute angles. As, we can also prove that,

Sum of angles of triangle = 180°

Taking First angle as 60° and second angle as 70°

Now,

60° + 70° + Third angle = 180°

→130° + Third angle = 180°

→Third angle = 50°

★ Points to Remember :

Acute angle : An acute angle is a angle which is smaller than the right angle (90°).

$\Large\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\sf{Jai \: Shree \: Krishna}}}}}}}}}}}}$

Answer 2

today..someone told me that the things I write you is annoying...I should just post them in facebook...and many more thing..............I guess she is right..I am sorry for taking the points and writing annoying things..I will never do it again:(

now your answer is ------

The sum of the angles of a triangle is 180°. Infinite triangles are possible.

Every triangle will have atleast two acute angles, each < 90°.

All acute triangles have three acute angles.

35°, 70°, 75°; 40°, 60°, 80°; etc.

All right triangles have two acute angles.

30°, 60°, 90°; 45°, 45°; 90°; 20°, 70°, 90°; etc.

Equilateral triangles have three acute angles. Equilateral triangles are equiangular.

60°, 60°, 60°

All obtuse triangles have two acute angles.

25°, 35°, 120°; 30°, 70°, 80°; etc.

The sum of angles in a triangle is always 180°. It can never be less than or greater than 180°.

Let's examine the supposition of only one acute angle in a triangle.

Then two possibilities emerge.

1. one acute angle + one right angle + one obtuse angle

The one obtuse angle and one right angle will itself add up to greater than 180°.

<90° + 90° + <90° ≠ 180°, will be >180°; not valid.

2. one acute angle + one obtuse angle + one obtuse angle

The two obtuse angles will itself add up to greater than 180°.

<90° + >90° + >90° ≠ 180°, will be >180°; not valid.