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A side of the triangle below has been extended to form an exterior angle of 133°. Find the value ofx?
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Exterior angle of a triangle?
Exterior Angle Theorem Exterior angle of a triangle An exterior angle of a triangle is the angle formed by a side of the triangle and the extension of an adjacent side. In other words, it is the angle that is formed when you extend one of the sides of the triangle to create a new line, and then measure the angle between that new line and the adjacent side of the original triangle. Each triangle has three exterior angles, one at each vertex of the triangle. The measure of each exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it. This is known as the Exterior Angle Theorem. For example, in the triangle below, the exterior angle at vertex C is equal to the sum of the measures of angles A and B So, angle ACB (the exterior angle at vertex C) is equal to the sum of angles A and B. Recomended for you: 𝕨𝕨𝕨.𝕕𝕚𝕘𝕚𝕤𝕥𝕠𝕣𝕖𝟚𝟜.𝕔𝕠𝕞/𝕣𝕖𝕕𝕚𝕣/𝟛𝟚𝟝𝟞𝟝𝟠/ℂ𝕠𝕝𝕝𝕖𝕟ℂ𝕠𝕒𝕝/
A side of a triangle below has been extended to form an exterior angle of 133 degrees. Find the value of x?
To find the value of x in this scenario, we need to understand that the exterior angle of a triangle is equal to the sum of the two remote interior angles. In this case, the exterior angle of 133 degrees is equal to the sum of x and the adjacent interior angle. Therefore, we can set up the equation as 133 = x + (x + 37) since the other interior angle is 37 degrees (180 degrees - x = 37 degrees). By solving for x, we find that x = 48 degrees.
What is an exterior angle of a polygon?
Extending a line past a side of the polygon, and measuring the angle between the adjacent side and the line. This angle will equal 180°-(interior angle). Below, I've tried to illustrate it, where x is the exterior angle, and i is the interior angle: x\ i __\_______/
Determine the measure of the missing angle in the triangle below the sum of the three angles in a triangle is 180 degree?
37 degree
What is the Formula for a acute triangle?
For acute triangle None of the angle of triangle should be more than 90 degrees. See the weblink below for formulas.
In the triangle below what is the length of the side opposite the 30 angle?
Sqaure root of 3
What is the length of in the right triangle below with legs of 18 and 80?
Using Pythagoras' theorem for a right angle triangle its hypotenuse is 82 units in length
How do you work out the sum of the exterior angles?
exterior angles always add up to 360 degrees, but 'exterior angle' refers to the angle that is made when you continue one of the lines. eg a square has 4 sides, make one of them longer so you end up with a thing like below, and the exterior angle is the one that's not 180 degrees. if you don't get it its quite hard to explain without a proper diagram, so Google pictures exterior angles im sure youll find something. _ |_|_
What is the length of BC in the right triangle below with legs of 9 and 12?
Using Pythagoras' theorem the hypotenuse of the right angle triangle works out as 15.
How many acute angle in the letter A is?
Three, forming the triangle above the line. The two angles below the line are obtuse.
How many degrees do the 3 angles in a triangle add up to?
The 3 angles in a triangle ALWAYS add up to 180 degrees. Below are the different types of triangles: * Right triangle: one 90 degree angle * Equilateral triangle: All angles are the same (60 degrees) * Isosceles triangle: two angles are the same and two sides are the same * Scalene triangle: all three angles and all three sides are different * Obtuse triangle: one obtuse angle (angle greater than 90 degrees)
Which shape fits the description below A three-sided figure with one acute angle one right angle and one obtuse angle.?
A three sided shape is a triangle but the given angles are incorrect because a triangle can't possibly have a right angle and an obtuse angle because its 3 interior angles must add up to 180 degrees.
