False: Each leg is shorter than the hypotenuse. A right triangle can have an obtuse angle. Explanation : The formula to find all the angles of a triangle is: To solve for the measure of angle , we plug in the values of and.
Explanation : The internal angles of a triangle always add up to degrees, and it was given that the triangle was right, meaning that one of the angles measures 90 degrees.
Therefore, each of the two equal angles has a measure of 45 degrees. What is the missing angle in this right triangle? Explanation : The angles of a triangle all add up to. Explanation : The angles of a triangle add together to degrees. We can now subtract to get x:. Copyright Notice. View Tutors. Shannon Certified Tutor. The Citadel, Masters in Education, Education. Kate Certified Tutor. Andrew Certified Tutor. Report an issue with this question If you've found an issue with this question, please let us know.
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Top Subjects. Our Company. Varsity Tutors. Privacy Policy. Terms of Use. A triangle's angles add up to degrees because one exterior angle is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle the ones that add up to form the exterior angle must combine with the third angle to make a angle.
You know how the angles of a triangle always add up to 0? Why is that? What in the world does a triangle have to do with a single straight line? As it turns out, quite a lot. And triangles also have a lot to do with rectangles, pentagons, hexagons, and the whole family of multi-sided shapes known as polygons.
Or so you thought … because we're also going to see that sometimes they don't. As an Amazon Associate and a Bookshop. Types of triangles A quick refresher: there are three different types of basic triangles. They are equilateral, isosceles, and scalene.
An equilateral triangle has three sides of the same length An isosceles triangle has two sides of the same length and one side of a different length A scalene triangle has three sides of all different lengths The length of a triangle's side directly affects its angles. Interior and exterior angles Before we get too far into our story about triangles and the total number of degrees in their three angles, there's one little bit of geometric vocabulary that we should talk about.
And that is the difference between an interior and an exterior angle. The easiest way to describe the difference between these two things is with an example. Since today's theme is the triangle, let's talk about the interior and exterior angles of a triangle. In short, the interior angles are all the angles within the bounds of the triangle. In other words, they're the kind of angles we've been talking about all along. The exterior angles of a triangle are all the angles between one side of the triangle and the line you get by extending a neighboring side outside the bounds of the triangle.
If you think about it, you'll see that when you add any of the interior angles of a triangle to its neighboring exterior angle, you always get 0 —a straight line. How many degrees is a triangle? Which brings us to the main question for today: Why is it that the interior angles of a triangle always add up to 0? To understand more about how we and our advertising partners use cookies or to change your preference and browser settings, please see our Global Privacy Policy.
Types of Triangles. Since the sum of the angles of a triangle is always degrees The equilateral triangle : In the equilateral triangle, all the sides are the same length congruent and all the angles are the same size congruent. Since the sum of the angles of a triangle is always degrees, we can figure out the measure of the angles of an equilateral triangle: The isosceles triangle : The isosceles triangle I can NEVER remember how to spell isosceles has two sides that are the same length congruent and two angles that are the same size congruent.
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