abigailsims3
Answered

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The two triangles are similar. Find the missing length X and measure of Pls help im desperate

The Two Triangles Are Similar Find The Missing Length X And Measure Of Pls Help Im Desperate class=

Sagot :

Medunno13

Answer: x=18, A=80 degrees

Step-by-step explanation:

By AA, we can say that [tex]\triangle ABC \sim \triangle[/tex]DEF. So:

1. Since the lengths of corresponding sides of similar triangles in equal ratio, we can say that

[tex]\frac{AB}{DE}=\frac{AC}{DF}\\\frac{20}{30}=\frac{12}{x}\\\frac{2}{3}=\frac{12}{x}\\\frac{12}{18}=\frac{12}{x}\\x=18[/tex]

2. Since corresponding angles in similar triangles are equal, [tex]\angle A=\angle D=80^{\circ}[/tex]

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