if the angles of a triangle are (2x)°,(3x+5)° and (4x-14)° , then the measures of the angles respectively are
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We know that the sum of the angles of a triangle is 180
o
.
∴2x
o
+3x
o
+5
o
+4x
o
−14
o
=180
o
⇒9x
o
−9
o
=180
o
⇒9x
o
=180
o
+9
o
=189
o
⇒x=
9
o
189
o
=21
∴2x
o
=(2×21)
o
=42
o
,(3x+5)
o
=[(3×21+5)]
o
=68
o
(4x−14)
o
=[(4×21)−14]
o
=70
o
Hence, the angles of the triangle are 24
o
, 68
o
and 70
o
.
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