Respuesta :

Answer:

87°, 68°, and 25°

Step-by-step explanation:

All the angles in a triangle will equal to 180° so with knowing this you can create the equation...

(7x-11)° + (2x-3)° + (5x-2)° = 180°

(14x-16)° = 180°

14x = 180° + 16°

14x = 196°

x = 14°

Knowing x you can substitute this value into each angle.

7(14)-11 = 87°

5(14)-2 = 68°

2(14)-3 = 25°

To confirm that these are the right answers you can add all these angles to see if they equal to 180°.

87° + 68° + 25° = 180°

Answer:

7x -11  = 87 degree

5x-2  = 68 degree

2x-3 = 25 degree

When you turn this triangle into a parallelogram, we remember the opposite angles add up to 180 so we label top or bottom corner angle label it x/2 in this diagram as 7x is higher we label this one x/2 instead to make a parallelogram make sense to the triangles, being the ratio angles of each 4 corners.

We then know that that triangle within other angles at the bottom are smaller as they share another angle where top missing quadrilateral angle shares the left bottom supplementary angles as 2 opposite ends on a parallelogram add up to 180 degree.

We do the sums and call x 14 start with the top angle first

7x -11 = 7(14) -11 = 98-11 = 87 degree

5x-2 = 5(14)-2 = 68 degree

2x-3 = 2 (14) -3 = 25 degree

If you do this again for different measures and find the bottom angle is higher then you just redo your workings as bottom first is higher and find why with x.

To show your ways of reasoning that all x = 14 etc.

x= 14

Step-by-step explanation:

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