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Tresset [83]
3 years ago
14

Someone help PLEASE thanks

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

Utiliza la regla

Step-by-step explanation:

Y te sacarasb10

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BEG is a triangle. ABC and DEF are parallel lines. work out the size of angle x.
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Answer:

x=60^o

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the measure of angle BEG

we know that

m\angle BED+m\angle BEG+m\angle GEF=180^o ---->  by supplementary angles (form a linear pair)

substitute the given values

110^o+m\angle BEG+25^o=180^o

m\angle BEG=180^o-135^o=45^o

step 2

Find the measure of angle HBC

we know that

m\angle HBC+m\angle ABH=180^o ---> by supplementary angles (form a linear pair)

we know that

m\angle ABH=110^o ---> by corresponding angles

substitute

m\angle HBC+110^0=180^o

m\angle HBC=180^o-110^o=70^o

step 3

Find the measure of angle EBG

we know that

m\angle EBG+m\angle GBC+m\ angle HBC=180^o

substitute the given values

m\angle EBG+35^o+70^o=180^o

m\angle EBG=180^o-105^o=75^o

step 4

Find the measure of angle x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle BEG

m\angle BEG+m\angle BGE+m\angle EBG=180^o

substitute the given values

45^o+x+75^o=180^o

x=180^o-120^o=60^o

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Will is 33 years old
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3 years ago
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