# Why can't a triangle have a right angle and an obtuse angle?

It would violate the theorem of the sum of the interior angles of a triangle summing up to

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A triangle cannot have both a right angle and an obtuse angle because the sum of the angles in any triangle is always 180 degrees. If a triangle has a right angle (90 degrees), the other two angles must add up to 90 degrees to satisfy this rule, making them both acute angles (less than 90 degrees). Conversely, if a triangle has an obtuse angle (greater than 90 degrees), the other two angles combined would not be able to make up the remaining 90 degrees needed to reach a total of 180 degrees. Therefore, a triangle cannot simultaneously have a right angle and an obtuse angle.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- If each of the equal angles of an isosceles triangle measure 25 degrees less than twice the vertex angle, what would the vertex triangle measure?
- A triangle #hat(ABC)# has vertices of #A(1,3);B(1/2,3/2);C(2,1)#. Verify that the triangle is isosceles and calculate the area and perimeter?
- The sum of the measures of two complementary angles is 90. If one angle measure 9 more than twice the other, what are the measures of the angles?
- A triangle has two corners of angles #pi /12# and #(5pi)/6 #. What are the complement and supplement of the third corner?
- What is the measure of angle c? round to the nearest hundredth.

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