In a triangle ABC , if 2∠A=3∠B=6∠C, then find the measure of ∠B.
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Answered by
2
Question is In a triangle ABC , if 2∠A=3∠B=6∠C, then find the measure of ∠B.
ANSWER
Let all the angles be x.
∠A=
2
x
,∠B=
3
x
,∠C=
6
x
So,
2
x
+
3
x
+
6
x
=180° [sum of all the angles of triangle is 180°]
12
6x+4x+2x
=180°
12
12x
=180°
x=180°
∠A=
2
x
=
2
180°
=90°
∠B=
2
x
=
3
180°
=60°
∠C=
6
x
=
6
180°
=30°
Answered by
1
Let all the angles be x.
∠A=2x,∠B=3x,∠C=6x
So, 2x+3x+6x=180° [sum of all the angles of triangle is 180°]
126x+4x+2x=180°
1212x=180°
x=180°
∠A=2x=2180°=90°
∠B=2x=3180°=60°
∠C=6x=6180°=30°
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