Analyze the diagram below and complete the instructions that follow solve for x

Option C. x = 17.5

Step-by-step explanation:

As we know If two triangles are similar then they follow SAS, SSS or AA property(any one). Now from the given image both the triangles will be similar if the two sides of the triangles are in the same ratio and angle between these  two sides are same.

Given size of one side = 8+14 =22

Size of other side = 10+x

and the common angle between these lines is 80°.

Now we apply the property of similarity

⇒

Now we cross multiply the fractions on each side

⇒ 8(10+x) = 22×10

⇒ 80+8x = 220

⇒ 8x = 220-80

⇒ 8x = 140

⇒ x =140÷8

x = 17.5

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Step-by-step explanation: