Image of triangle is missing, so i have attached it.
Answer:
x = 18
Step-by-step explanation:
From the diagram attached, we can see that the 3 given sides have dimensions of x, 16 and 30.
Also, we see the angle opposite the dimension of x is 30°
Thus,we can use law of cosine to fjnd the value of x. Thus:
x² = 16² + 30² - 2(16 × 30)cos 30
x² = 256 + 900 - (960 × 0.866)
x² = 324.64
x = √324.64
x = 18.02
Approximating to the nearest tenth gives; x = 18
When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:
The measurement of the angles in green is the same (are congruents)
The measurement of the angles in blue is the same (are congruents)
An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)
You know that:
As the angle 3 is congruent with angle 2:
