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question:Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to AngleDCB. A horizontal line has points A, C, B. Right angle F C D intersects the line at point C. A line extends from point C vertically to point E. Angle A C F is 45 degrees and angle F C D is 90 degrees. Which statement is true about AngleDCB and AngleACF? They are congruent and complementary. They are congruent and supplementary. They are complementary but not necessarily congruent. They are supplementary but not necessarily congruent.
answer:Based on the given information, we know that AngleECD is complementary to AngleDCB. However, there is no information provided regarding the relationship between AngleDCB and AngleACF. Therefore, we cannot determine whether they are congruent or supplementary. The correct statement is that AngleDCB and AngleACF are complementary but not necessarily congruent.
question:Angle ACD is supplementary to angles ACE and BCD and congruent to angle BCE. 2 lines intersect. Lines D E and A B intersect at point C. Which statements are true about the angles in the diagram? Select three options. Angle ACE is supplementary to angle BCD. Angle BCE is supplementary to angle ACE. Angle BCD is supplementary to angle BCE. Angle ACE is congruent to angle BCE. Angle BCD is congruent to angle ACE.
answer:Based on the given information, the three true statements about the angles in the diagram are: 1. Angle ACE is supplementary to angle BCD. 2. Angle BCE is supplementary to angle ACE. 3. Angle ACE is congruent to angle BCE. So, the correct options are: - Angle ACE is supplementary to angle BCD. - Angle BCE is supplementary to angle ACE. - Angle ACE is congruent to angle BCE.
question:Angle B measures 60°. What is the measure of the angle that is complementary to angle B? 30° 60° 120° 180°
answer:The measure of the angle that is complementary to angle B can be found by subtracting the measure of angle B from 90° (since complementary angles add up to 90°). In this case, if angle B measures 60°, then the complementary angle would have a measure of 90° - 60° = 30°. Therefore, the measure of the angle that is complementary to angle B is 30°.
question:Lines DE and AB intersect at point C. Lines D E and A B intersect at point C. Angle A C E is (2 x + 2) degrees. Angle E C B is (5 x + 3) degrees. What is the value of x? 12 25 38 52
answer:To find the value of x, we can set up an equation based on the given information. Since lines DE and AB intersect at point C, we know that angle ACE and angle ECB are adjacent angles and, therefore, supplementary. This means that their measures add up to 180 degrees. So, we can set up the equation: (2x + 2) + (5x + 3) = 180 Combining like terms gives: 7x + 5 = 180 Subtracting 5 from both sides: 7x = 175 Dividing both sides by 7: x = 25 Therefore, the value of x is 25.