Question

The two triangles illustrated below are similar. What are the values of x and y?xх20y34110°17O A. x = 40, y = 110°O B. X = 1.34, y = 110°O c. x = 48, y = 110°O D. X = 40, y = 55°

Answer 1

Answer:

x = 40, y = 110°

Option A is correct

Step-by-step explanation:

When two triangles are similar:

• Their corresponding angles are equal

,

• The ratios of their corresponding sides are equal

By carefully observing the two similar triangles:

y° in the large triangle is corresponding to 110° in the small triangle

Therefore:

y = 110°

Also,

x/20 = 34/17

x/20 = 2

x = 2(20)

x = 40

x = 40, y = 110°