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monique robles

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Q: Which of these are the measures of angles 1, 2, and 3?
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Two complementary angles have measures in the ratio 2 to 3 what are their measures?

The sum of two complementary angles is 90°.If the ratio is 2:3 then there are 5 parts in total.90 ÷ 5 = 18.The angles measure 2 x 18 = 36° and 3 x 18 = 54°.


Two congruent angles are always vertical angles?

Do you mean "Are two vertical angles always congruent?" Vertical angles are always congruent, but congruent angles do not have to be vertical. Any two angles with the same angle measurement are considered congruent by definition. The reason why vertical angles are always congruent is explained below. Imagine (or draw) an X forming 2 pairs of vertical angles. ∠1 is to the left, ∠2 is on top, ∠3 is to the right, and ∠4 is on the bottom. Vertical angles are always congruent because ∠1 and ∠2 are supplementary, meaning that their measures add to 180 degrees. The measures of ∠2 and ∠3 also add to 180 degrees. This means that m∠1+m∠2=180 and m∠2+m∠3=180. Using the Transitive Property, it becomes m∠1+m∠2=m∠2+m∠3. If you subtract the measure of ∠2 from both sides, it becomes m∠1=m∠3. I hope that helped!


If measures of 3 supplementary angles are in the ratio 1 to 3 to 2 what are the values of the angles?

call the small angle x, then given the ratios we have x+2x+3x=180 6x=180 so x=30 The angles are 30, 60, and 90.


If the degree measures of the angles of a triangle are three consecutive integers what are the measures of the angles of the triangle?

n is the smallest angle, n+1 is the next and n+2 is the third one. n+(n+1)+(n+2)=180 so 3n+3=180 3n=177 n=59 and then next two are 60 and 61.


Which one of the pairs of angles below is adjacent 2 and 4 1 and 3 1 and 2 3 and 1?

1 and 2


Can you write a two column proof given angles 2 and 3 are congruent and prove angles 1 and 4 are congruent?

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


Is it possible for a triangle to have angle measures of 1 and 2 and 177 degree?

Yes because the 3 interior angles of a triangle add up to 180 degrees


What is the sum of the measures of 1 2 3 and 4?

10, unless they are non collinear vectors.


The degree of the angles of a triangle are three consecutive integers find the measures of the angles of the triangle?

The angle measures are 59, 60 and 61. Use algebra to figure this out. Let x = the first consecutive number, x + 1 the second and x + 2 the third. So you have x + x + 1 + x + 2 = 180 3x + 3 = 180 3x = 177 x = 59


How many equal angles has a hexagon?

A hexagon need not have any equal angles.It can have 2, 3, 4, 5 or 6 equal angles, or 2 or 3 pairs of equal angles, or 2 triplets of equal angles or 1 pair and 1 quartet.


Can you have a triangle with 1 acute 1 right and 1 obtuse angle?

No it is impossible a triangle can have: 3 acute angles 1 right and 2 acute angles 1 obtuse and 2 acute angles


How many angles does a equalateral triangle have?

3 interior angles and each of them measures 60 degrees