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Can you prove that angle B is the only right angle in triangle ABC?
The sum of the internal angles of a triangle is 180º. If B is a right angle it has 90º, so there are only 90º left for the other two angles, meaning that they cannot be right!
If measure reflex angle ABC equals 240 then measure angle ABC equals?
The sum of the two angles is 360. So angle ABC = 120 degrees.
An isoceles triangle has two sides of 52 and one side of 40 What are the angles?
Let the sides be abc and their opposite angles be ABC and so: Using the cosine rule angle A = 67.38 degrees Using the cosine rule angle B = 67.38 degrees Angle C: 180-67.38-67.38 = 45.24 degrees
ABC has a measure of 40. CBD has a measure of 23. The angles share a ray and form ABD. Which is the measure of ABD?
To find the measure of angle ABD, you can add the measures of angles ABC and CBD since they share a ray. Therefore, the measure of angle ABD is 40° + 23° = 63°. Thus, the measure of angle ABD is 63 degrees.
If an isosceles triangle has two equal sides that are 14 feet long and the third side is 17 feet long what are the angles?
Let the Isosceles Triangle be ∆ ABC with sides AB = AC = 14', and BC = 17' Draw a line bIsecting angle BAC. This line will be perpendicular to and bisect BC at point D. Then ∆ DBA (or ∆ DCA) is a right angled triangle with AB the hypotenuse. Angle ABD = Angle ABC is one of the two equal angles of the isosceles triangle. Cos ABD = BD/AB = 8.5/14 = 0.607143, therefore Angle ABC = 52.62° The third angle of the triangle is 180 - (2 x 52.62) = 180 - 105.24 = 74.76° The angles are therefore 52.62° , 52.62° and 74.76° .
