plzz help me..............
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I will use this sign for denoting angle @
SUM OF ALL ANGLES OF TRIANGLE = 360°
EXTERIOR ANGLE PROPERTY {EAP} STATES THAT WHEN ONE SIDE IS PRODUCED ANGLE FORMED IS EQUAL TO SUM OF OPP INTERIOR ANGLES.
UR QUESTION IS :
PROVING @5 + @6 +@4 = 360°
by EAP,
@5 = @2 + @3
@4 = @1 + @2
@6 = @1 + @3
we can write that we have to prove
@2 + @3 + @1 + @2 + @1 + @3 = 360°
2×@1 + 2×@2 + 2×@3 = 360
2 × { @1 + @2 + @3 } = 360°
{ @1 + @2 + @3 } = 180° i.e. sum of @ of triangle
2 × 180 ° = 360°
360° = 360°
LHS = RHS
HENCE, PROVED
HOPE IT HELPS :):):):):):)
MARK AS BRAINLIEST
SUM OF ALL ANGLES OF TRIANGLE = 360°
EXTERIOR ANGLE PROPERTY {EAP} STATES THAT WHEN ONE SIDE IS PRODUCED ANGLE FORMED IS EQUAL TO SUM OF OPP INTERIOR ANGLES.
UR QUESTION IS :
PROVING @5 + @6 +@4 = 360°
by EAP,
@5 = @2 + @3
@4 = @1 + @2
@6 = @1 + @3
we can write that we have to prove
@2 + @3 + @1 + @2 + @1 + @3 = 360°
2×@1 + 2×@2 + 2×@3 = 360
2 × { @1 + @2 + @3 } = 360°
{ @1 + @2 + @3 } = 180° i.e. sum of @ of triangle
2 × 180 ° = 360°
360° = 360°
LHS = RHS
HENCE, PROVED
HOPE IT HELPS :):):):):):)
MARK AS BRAINLIEST
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