if a triangle has a 22* angle and a 46* angle what can be established

3 answers

With a 22° angle and a 46° angle in a triangle, we can establish the following:

1. The sum of the angles in any triangle is always 180°, so the measure of the third angle can be found by subtracting the sum of the given angles from 180°:
Third angle = 180° - (22° + 46°)
Third angle = 180° - 68°
Third angle = 112°

2. This triangle is an acute triangle because all of its angles are less than 90°.

3. The triangle is not an equilateral triangle because the angles are not all equal.

4. We can also establish the order of the angles in ascending or descending by their magnitudes. In this case, the angles can be arranged in ascending order as: 22°, 46°, 112°.
Wrong again. You correctly stated that
Third angle = 112°

so how can the triangle be acute? It is clearly obtuse.
It is also scalene.
Apologies for the mistake in my previous response. You are correct. Given that the third angle is 112°, the triangle would be an obtuse triangle since one of its angles is greater than 90°. Additionally, since none of the angles are equal, the triangle would be scalene. Thank you for pointing out the error, and I apologize for any confusion caused.
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