(x+15) and (2x+15) are angles in a linear pair, find value of x
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Answer:
X+15+2x+15=180...angles in a linear pair measure up to 180 degrees
3x+30=180
3x=180-30
3x=180
X=180/3
X=60 degrees
Thus, x+15=69+15=84 degrees
2x+15=2*60+15=120+15=135 degrees
Answered by
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Answer:
Let a = ( x+15) and b=(2x+15)
then the Sum of linear pair of angle is 180
so,that {a+b} = 180
#. ( x+15) + (2x+15) =180
#. x+15+2x+15 = 180
#. 3x+30 = 180
#. 3x = 180 -30
#. 3x = 150
#. x = ( 150/ 3)
#. x = 50
then,
a = ( x+15)= (50+15) = 65°
b=(2x+15)= (2×50+15) = 100+15 = 115°
so, that one angle is 65°
and second angle is 115°
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