Question

The two triangles are similar. What is the value of x? Enter your answer in the box. x = Two right triangles, one smaller than the other, back to back, so that their right angles form a straight angle. The two acute angles along the straight angle are congruent to each other. The overlapping part of the legs is labeled 12. The part of the overlapping side that extends above the smaller triangle is labeled 4. The leg of the smaller triangle that is along the straight angle is labeled 5 x minus 2. The leg of the larger angle that is along the straight angle is labeled 6 x.

Answer 1

Answer:

Step-by-step explanation:

overlapping part of the legs, 12

The part of the overlapping side that extends above the smaller triangle, 4

smaller straight angle ray, 5x-2

larger straight angle ray, 6x

Therefore, 6x-(5x-2) = 12-4

6x-5x+2 = 8

x+2 = 8

x = 8-2

x = 6