Question

A triangle can have two

• right angle
•obtuse angle
• straight angle
• acute angle ​

Answer 1

Answer:

A right angle have two acute angle

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Answer 2

$\huge\bold{Answer:}$

A triangle can have 2 acute angles.

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

Every triangle will have at least 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.