Complement: 22 Supplement: 112
The third angle is 68 degrees which makes it a scalene triangle
You can calculate this on any scientific calculator. Those calculators don't usually have a special key for the cotangens, but this is the same as 1 / tan(68).
Angle A = X degrees Angle B = 2X + 24 A+B = 3X + 24 But A+B = 90, so 90 = 3x + 24 90 - 24 = 3x 66 = 3x 22 = x So, Angle A = 22º and Angle B = 22+22+24 = 68º Here's how to get that answer: if 2 angles equal 90 degrees, and one angle is 24 more than twice the measure of the other angle, set up an equation with a variable. Say x is the variable. One angle is 2x+24 because it's twice what x is plus 24. The other angle is x. 2x+24+x+90 Now solve. Combine the x's to make the equation 3x+24=90. Now subtract 24 from 90 to get 66. 3x=66 Now divide 66 by 3. x=22. We now have to find the measures of both angles. 2x=44, and 44+24=68 the smaller angle is 22 degrees and the bigger angle is 68 degrees. We know this is right because 22+68=90.
68 = 22 x 17
90-22-68
90 - 68 ie 22 degrees
Complement: 22 Supplement: 112
Acute angle
The third angle is 68 degrees which makes it a scalene triangle
22 degrees
An angle of 68 degrees is an acute angle
The cotangent is the reciprocal of the tangent, so simply calculate, on your scientific calculator, 1 / tan(68).
The trig identaty of cot(x) is cos(x)/sin(x) so then if we want to evaluate cot (68) deg. we just plug into the identady. so cos(68)/sin(68)=.404
You can calculate this on any scientific calculator. Those calculators don't usually have a special key for the cotangens, but this is the same as 1 / tan(68).
The sum of interior angles of any triangle is 180 degrees. A right triangle is defined as a triangle having one angle that measures 90 degrees. Therefore, it follows that the sum of the remaining two angles will be 90 degrees 90-68=22 The third angle is 22 degrees
Angle A = X degrees Angle B = 2X + 24 A+B = 3X + 24 But A+B = 90, so 90 = 3x + 24 90 - 24 = 3x 66 = 3x 22 = x So, Angle A = 22º and Angle B = 22+22+24 = 68º Here's how to get that answer: if 2 angles equal 90 degrees, and one angle is 24 more than twice the measure of the other angle, set up an equation with a variable. Say x is the variable. One angle is 2x+24 because it's twice what x is plus 24. The other angle is x. 2x+24+x+90 Now solve. Combine the x's to make the equation 3x+24=90. Now subtract 24 from 90 to get 66. 3x=66 Now divide 66 by 3. x=22. We now have to find the measures of both angles. 2x=44, and 44+24=68 the smaller angle is 22 degrees and the bigger angle is 68 degrees. We know this is right because 22+68=90.