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Earn +20 ptsQ: An angle and its complement are congruent sometimes always or never?
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An angle and its complement always have a sum of 90 degrees. The sum of the measures of an angle and five times its complement is 298 degrees. What is the measure of the angle?
Angle and its complement have a sum of 90 degrees: A+C = 90 Angle plus five times its complement is 298 degrees: A+5C = 298 Subtract first equation from the second: 4C = 208 C = 52 So, the complement is 52 degrees and the angle is 38 degrees
Supplements of the same angle are congruent what's the best statement for reason 6 of this proof?
angle B and angle D are supplements, angle B is congruent to angle D, angle A is congruent to angle A, or angle A is congruent to angle C
An angle is one half it complement?
No. An angle is (90 minus its complement) degrees. The definition of the complement is "90 degrees minus the original angle".
Why vertical angles must always be congruent?
Because if they werent, they would eventually form an angle.
Name the congruent angle and sides for the pair of congruent triangles if triangle SKL is congruent to triangle CFG?
angle SKL = angle CGFangle KLS = angle GFCangle LSK = angle FCGSK = CFKL = FGSL = CG.
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