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Q: What type of angle is an angle which measures 89 degrees?

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That's one of an infinite number of possible right, scalene triangles.

(2n + 1) + (2n + 3) + (2n + 5) + (2n + 7) = 360 8n + 16 = 360 8n = 344 n = 43 So, the angles are 87, 89, 91, and 93 degrees.

The sum of the three angle measurements of a triangle is 180 degrees. If you use all of them on the first two then there is none for the third. You can have 90, 89 and 1 though.

the two angles that are wide spread are the obtuse ones. these are angles 91 degrees and through 179 degrees. the two angles that are pinch closer together of the acute ones. these are angles 1 degrees through 89 degrees.

Why approximate? I will show you what you should know being in the trig section. Law of cosines. Degree mode!! a = 4 (angle opposite = alpha) b = 5 ( angle opposite = beta) c = 8 ( angle opposite = gamma ) a^2 = b^2 + c^2 - 2bc cos(alpha) 4^2 = 5^2 + 8^2 - 2(5)(8) cos(alpha) 16 = 89 - 80 cos(alpha) -73 = -80 cos(alpha) 0.9125 = cos(alpha) arcos(0.9125) = alpha alpha = 24.15 degrees ------------------------------ b^2 = a^2 + c^2 - 2bc cos(beta) 5^2 = 4^2 + 8^2 - 2(4)(8) cos(beta) 25 = 80 - 64 cos(beta) -55 = -64 cos(beta) 0.859375 = cos(beta) arcos(0.859375) = beta beta = 30.75 degrees --------------------------------- Now to find gamma, subtract from 180 degrees 180 - 24.15 - 30.75 = 125.1 degrees alpha = 24.15 degrees ( subject to rounding, but all add to 180 degrees ) beta = 30.75 degrees gamma = 125.1 degrees now you see the smallest, the angle opposite the a side, which is 4 ( be in degree mode!!)

Related questions

an acute angle

an angle measuring from 0 - 89.999 degrees is an acute angle. an angle at exactly 90 degrees is a right angle. an angle from 90.001 degrees to 180 degrees is an obtuse angle.

An angle of 52 degrees, as with any angle between 1 and 89 degrees, is an acute angle.

An angle that measures 89 degrees would be an acute angle. Anything below 90 degrees is acute while anything above is obtuse.

It is an acute angle

91 degrees is an obtuse angle. 89 degrees is an acute angle.

The complement of 89 degrees is: 89+1 = 90 degrees which is a complementary angle

an acute angle

The fourth exterior angle is 93 degrees so the fourth interior angle must be 87 degrees because there are 180 degrees on a straight line.

11 and 89 aren't complementary angles because complementary angles form a right angle (90 degrees), but 89 and 11 add up to 100 and not 90.

The measurement of angle ABD is 73 degrees. You find this angle by subtracting angle DBC from angle ABC, or 89-16 is equal to 73 degrees.

It is 91 degrees

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