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natta225 [31]
3 years ago
6

What is the measure of the smallest angle in the diagram?

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0

Answer:

The measure of the smallest angle is m\angle FLI=29^o

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

m\angle FLI=m\angle\ FLG+m\angle GLH+m\angle HLI ---> by Angle Addition Postulate

substitute the given values

106^o=(2x-1)^o+(x+17)^o+(4x-15)^o

solve for x

106^o=(7x+1)^o

7x=106-1\\7x=105\\x=15

Find the measure of each angle

substitute the value of x

m\angle FLI=(2(15)-1)=29^o\\m\angle GLH=(15+17)=32^o\\m\angle HLI=(4(15)-15)=45^o

therefore

The measure of the smallest angle is m\angle FLI

asambeis [7]3 years ago
5 0

Answer:

B)29

Step-by-step explanation:

edu

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Step-by-step explanation:

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