Question

If 3x + 18º and 2x + 25° are supplementary, find the value of x.​

Answer 1

Answer:

x=27.4°

Step-by-step explanation:

Given angles- 3x+18°, 2x+25°

given that angles are supplementary

that means sum of angles is 180°

so, 3x+18°+2x+25°=180°

5x+43°=180°

5x=180°-43°

5x=137°

x=137°/5

x=27.4°

Answer 2

➼ Question ➼

If 3x + 18º and 2x + 25° are supplementary, find the value of x.​

➼ Answer ➼

The sum of two Supplementary Angles equals to 180°.

1st Angle = $3x + 18$°

2nd Angle = $2x + 25$°

Sum = $180$°

$3x + 18 + 2x + 25 = 180$

$3x + 2x + 18 + 25 = 180$

$5x + 43 = 180$

$5x = 180 - 43$

$5x = 137$

$x=137\div5$

$x=27.4$

Verification :-

LHS = $3x + 18 + 2x + 25$

= $3$ × $27.4 + 18 + 2$ × $27.4 + 25$

= $82.2+18+57.8+25$

= $100.2 + 79.8$

= $180$

RHS = $180$

LHS = RHS hence, verified.

Thus,

The value of $x$ equals to $27.4$

Therefore,

1st Angle = $3x + 18$

= $3$ × $27.4 + 18$

= $82.2+18$

= $100.2$

2nd Angle = $2x + 25$

= $2$ × $27.4 + 25$

= $54.8+25$

= $79.8$

$@NightRead$

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