Answer:
14
Step-by-step explanation:
Since all sides are half of greater triangle.Then 7 × 2 = 14 is length of greater hypotenuse.
Suppose two triangles with similar conditions
1^2+1^2=2
Hypotenuse=2^1/2
We assume another triangle which is exactly double of previous triangle I.e
2^2+2^2=8
Hypotenuse=2×2^1/2
Which is exactly twice of previous triangle.
Hence proved hyootenuse is double of smaller triangle I.e 14
The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
Read more about Alternate Angles at; brainly.com/question/24839702
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