An Angle Bisector
Dividing the angle into 2 congruent angles
Without a visual or more information, I'm guessing that the picture is of angles 1 and 2 that are consecutive (share an angle side) and a separate picture of consecutive angles 3 and 4. With that said: 1) angle 2 congruent to angle 3................1) given 2) angle 1 is supplementary to angle 2....2) If angles are next to each other --> supps angle 3 is supplementary to angle 4 3) angle 1 congruent angle 4..............3) If supps to congruents angles ---> congruent
ANSWERIf two angles are complementary to the same angle (or to two congruent angles), then the two angles are congruent.< means "Angle".Hypothesis:
A triangle with 1 right angle and 2 congruent acute angles is both a right triangle and an isosceles triangle.
No, but the opposite angles are congruent because it has 2 equal opposite acute angle and 2 equal opposite obtuse angles that all add up to 360 degrees.
Yes, when a ray bisects an angle, it divides the angle into two equal, or congruent, angles. This means that the measure of each of the resulting angles is half of the measure of the original angle. For example, if the original angle measures 60 degrees, each of the two congruent angles would measure 30 degrees. This property is fundamental in geometry and is often used in various proofs and constructions.
Dividing the angle into 2 congruent angles
Without a visual or more information, I'm guessing that the picture is of angles 1 and 2 that are consecutive (share an angle side) and a separate picture of consecutive angles 3 and 4. With that said: 1) angle 2 congruent to angle 3................1) given 2) angle 1 is supplementary to angle 2....2) If angles are next to each other --> supps angle 3 is supplementary to angle 4 3) angle 1 congruent angle 4..............3) If supps to congruents angles ---> congruent
ANSWERIf two angles are complementary to the same angle (or to two congruent angles), then the two angles are congruent.< means "Angle".Hypothesis:
No. You get two congruent angles.
An angle bisector of a 90-degree angle is a line or ray that divides the 90-degree angle into two equal angles of 45 degrees each. It is a line that passes through the vertex of the angle and divides it into two congruent angles. In a right triangle, the angle bisector of the right angle will also bisect the opposite side, creating two smaller right triangles.
No, it means they have either 2 sides and 1 angle congruent, 2 angles congruent, 2 angles and a side congruent, or 3 sides congruent.
The first is two angles and the included side whereas the second is two sides and the included angle!
A triangle with 1 right angle and 2 congruent acute angles is both a right triangle and an isosceles triangle.
(1) third angle, (2) included
The length of the congruent sides makes no difference to the measured angles. Assuming the base angles are the congruent angles, then: angle = (180o - other_angle) ÷ 2 = (180o - 42o) ÷ 2 = 69o
No, but the opposite angles are congruent because it has 2 equal opposite acute angle and 2 equal opposite obtuse angles that all add up to 360 degrees.