HarleyQuinn112:
Find the values for Angle G and Angle E. picture attached.
jhonyy9:
any idea ? than you know that angle T marked has 145° so the second part of angle T how many degree need having ?
jhonyy9:
|dw:1546903326522:dw|
HarleyQuinn112:
35?
jhonyy9:
yes - but do you know why 35 degree ?
jhonyy9:
how you ve got this 35 ?
HarleyQuinn112:
180-145=35
jhonyy9:
yes exactly
jhonyy9:
and now what may be the next step ?
HarleyQuinn112:
finding angle G?
jhonyy9:
ok. but how ?
jhonyy9:
what is the line TO for triangle GEM ?
jhonyy9:
given that point T is middle point of side GE and O is midle point of side GM
HarleyQuinn112:
TO is the median of GM?
jhonyy9:
just for GM ?
HarleyQuinn112:
and GE
jhonyy9:
|dw:1546904584268:dw|
jhonyy9:
what you see on the above posted triangle ?
jhonyy9:
the line EF unit the midle point of side AB and side AC yes ?
HarleyQuinn112:
BE and AE are congruent, AF and CF are congruent E is the midpoint of AB and F is the midpoint of AC, and EF is the median of the triangle
jhonyy9:
ok so from this result that the line EF how is with the 3rd side ?
jhonyy9:
please check on my above posted image
jhonyy9:
EF how is with BC ? is perpendicular on BC ?
HarleyQuinn112:
yes it is
jhonyy9:
|dw:1546905084337:dw| do you see the same angle between EF and BC ?
jhonyy9:
no please remember the median of a triangle is always parallel with the 3rd side
HarleyQuinn112:
oh okay
jhonyy9:
so now with these knowladge what you know from this image of your exercise ?
jhonyy9:
|dw:1546905389129:dw|
HarleyQuinn112:
g and e are congruent angles ?
HarleyQuinn112:
they are all 35?
jhonyy9:
g not equal e
jhonyy9:
you said above that the second part of angle T has 35 degree yes ?
jhonyy9:
and above we get that side OT is parallel with side EM what result from this ?
jhonyy9:
so from this result that angle E equal angle T what you get above right ?
jhonyy9:
how many is the sum of angle of a triangle ?
HarleyQuinn112:
180
jhonyy9:
yes so you know that E has 35 and M has 125 so from this result that G has how many ?
jhonyy9:
courage this is easy
HarleyQuinn112:
g has 55
jhonyy9:
why ? how you get this result ?
HarleyQuinn112:
180-125= 55
jhonyy9:
a triangle has 3 angles yes ?
jhonyy9:
180 is the sum of 3 angles
HarleyQuinn112:
125+35+20= 180
jhonyy9:
ok and so angle G how many degree has ?
HarleyQuinn112:
20
jhonyy9:
BRAVO !!!! do you understand it now sure ?
HarleyQuinn112:
yes i understand thank you😊
jhonyy9:
np was my pleasure - i m happy that i helped you any time and good luck bye bye
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