Question

80% of an angle is the supplement of 140°.Find the angle​

Answer 1

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• 80% of an angle is the supplement of 140°

$\green{ \bigstar}\large \red{\underbrace\purple{ \underline{ \blue{} \frak{to \: find}}} }$

• Find the angle

$\green{ \bigstar}\large \red{\underbrace\purple{ \underline{ \blue{} \frak{solution \: }}} }$

Given that the 80% of an angle is the supplement of 140° and let that angel be x

We know that,

The sum of supplementary angles are 180° so,

$\sf\longmapsto Supplement \: angle = x + 140 = 180 \\ \\ \sf\longmapsto Supplement \: angle = x = 180 - 140 \\ \\ \sf\longmapsto Supplement \: angle = x = 40 \degree \\ \\ \bf \: hence \: \: angle \: be \: 40 \degree$

______________

According to the question,

$\sf\qquad\qquad\longrightarrow80\% \times x = 40 \degree \\ \\ \sf\qquad\qquad\longrightarrow \frac{80}{100} \times x = 40 \degree \\ \\ \sf\qquad\qquad\longrightarrow \: x = \cancel{40 }\times \frac{100}{ \cancel{80}} \\ \\ \sf\qquad\qquad\longrightarrow \: x\: = \: \cancel \frac{100}{2} \\ \\ \sf\qquad\qquad\longrightarrow \: x = 50 \degree$

Hence the meager of supplementary angle be 50°

Answer 2

Answer:

angle=50°

Step-by-step explanation:

Let the angle be x°

supplement of 140° = 180-140

= 40°

=> 80% of x = 40°

80/100*x=40

80x= 40*100

x= 4000/80

x= 50°