Answer :

mhanifa

Answer:

  • x is between 5 and 33 ⇒  5 < x < 33

Step-by-step explanation:

The two triangles have two equal side measures:

  • 4 units and the sides marked as equal,

The third side is different and the given angles are opposite them.

It means the angle measure 4x - 20 is smaller than 112:

  • 4x - 20 < 112
  • 4x < 132
  • x < 132/4
  • x < 33

On the other hand, the angle measure is positive:

  • 4x - 20 > 0
  • 4x > 20
  • x > 5

So the possible range of x is:

  • 5 < x < 33

First it must be positive

  • 4x-20>0
  • 4(x-5)>0
  • x-5>0
  • x>5

And

  • 4x-20<112
  • 4x<132
  • x<33

So solution range

  • (5,33)

Other Questions