Triangle ABC is similar to XYZ. If a = 24, what are x and y?

x = 16

y = 105°

Step-by-step explanation:

Given:

∆ABC ~ ∆XYZ

a = 24

Required:

Value of x and y

Solution:

Since ∆ABC ~ ∆XYZ, therefore:

<A ≅ <X

<B ≅ <Y

<C ≅ <Z

Also, the ratio of their Corresponding sides will be the same. That is,

Find the value of x using,

Cross multiply

Divide both sides by 15

y = 180° - 75°(linear pair/angles on a straight line theorem)

y = 105°

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step-by-step explanation:

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