What is the value of x? x = cm
Solution:
The two triangles are similar by ∀ theorem because where the two lines cross there are two vertical angles, and vertical angles are congruent.
From the figure, there is another pair of angles which is congruent.
We know that due to similarity, the ratio of corresponding sides are the same.
32/4 = 40/x
32x = 160
Dividing both sides by 32
x = 5
Therefore, the value of x is 5 cm.
What is the value of x? x = cm
Summary:
The value of x is 5 cm.