Act.ge.5 third angle of triangle

In summary, the conversation is discussing a multiple choice question about the angles of a triangle. The question provides information about angle A and B and asks for the possible values of angle C. The answer is limited to values less than 65 degrees.
  • #1
karush
Gold Member
MHB
3,269
5
$\tiny{act.ge.5}$

ok you have 2 seconds to figure this one out:unsure:

This question has live answer choices. Select all the answer choices that apply. The correct answer to a question of this type could consist of as few as one, or as many as all five of the answer choices.
\item In triangle ABC, the measure of angle A is $25^o$ and the measure of angle B is greater than 90°. Which of the following could be the measure of angle \textbf{C}?
Indicate all possible values.

$
a.\ 12^o
\quad b.\ 15^o
\quad c.\ 45^o
\quad d.\ 50^o
\quad e.\ 70^o $

from observation I choose 4 possible but thot I would see what the replies would be
 
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  • #2
$A+B > 115 \implies C < 65$
 

FAQ: Act.ge.5 third angle of triangle

What is the third angle of a triangle?

The third angle of a triangle is the angle that is opposite to the third side of the triangle. It is also known as the interior angle that is not adjacent to the other two angles.

How do you find the third angle of a triangle?

To find the third angle of a triangle, you can use the fact that the sum of all angles in a triangle is 180 degrees. You can subtract the measurement of the other two angles from 180 degrees to find the measurement of the third angle.

Can the third angle of a triangle be greater than 90 degrees?

Yes, the third angle of a triangle can be greater than 90 degrees. This type of triangle is called an obtuse triangle. It has one angle that is greater than 90 degrees and two angles that are less than 90 degrees.

Is the third angle of a triangle always the largest angle?

No, the third angle of a triangle is not always the largest angle. It depends on the measurements of the other two angles. If one of the other two angles is greater than the third angle, then it will be the largest angle in the triangle.

Can the third angle of a triangle be negative?

No, the third angle of a triangle cannot be negative. Angles are measured in degrees, which are always positive values. However, the third angle of a triangle can be zero if the other two angles are each 90 degrees, making the triangle a right triangle.

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