Give the geometric representation of 2x + 1 = x - 4 as an equation in (a)one variable (b) two variable
Answers
Answer:
Measure of two supplementary angles are in the ratio 7:8 .
To Find :
Measure of both angles in degree
Solution :
\longmapsto\tt{Let\:one\:angle\:be=7x}⟼Letoneanglebe=7x
\longmapsto\tt{Let\:other\:angle\:be=8x}⟼Letotheranglebe=8x
As we know that sum of two supplementary angles is 180° . So ,
\longmapsto\tt{7x+8x=180^{\circ}}⟼7x+8x=180
∘
\longmapsto\tt{15x=180^{\circ}}⟼15x=180
∘
\longmapsto\tt{x=\cancel\dfrac{180}{15}}⟼x=
15
180
\longmapsto\tt\bf{x=12}⟼x=12
Value of x is 12 .
Therefore :
\longmapsto\tt{Measure\:of\:one\:angle=7(12)}⟼Measureofoneangle=7(12)
\longmapsto\tt\bf{84^{\circ}}⟼84
∘
\longmapsto\tt{Measure\:of\:other\:angle=8(12)}⟼Measureofotherangle=8(12)
\longmapsto\tt\bf{96^{\circ}}⟼96
∘
VERIFICATION :
\longmapsto\tt{7x+8x=180^{\circ}}⟼7x+8x=180
∘
\longmapsto\tt{7(12)+8(12)=180^{\circ}}⟼7(12)+8(12)=180
∘
\longmapsto\tt{84+96=180^{\circ}}⟼84+96=180
∘
\longmapsto\tt\bf{180^{\circ}=180^{\circ}}⟼180
∘
=180
∘
HENCE VERIFIED
Step-by-step explanation:
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