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I need help pleasssss

I need help pleasssss-example-1
User Margherita
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Answer:

3) 16.2

Explanation:

The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:

CB/CD = CF/CA

CB = CD·CF/CA = 7.2·21.6/9.6

CB = 16.2

_____

When given two "point-to-point" triangles like this, quite often there is some sort of similarity relationship involved. First, you need to figure out what it is; then you need to make use of it as needed to answer the question being asked.

User Smartdirt
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