Question

If (3x +25) and (2x + 5) are 2
supplementary angles, the value
of "x" is?​

Answer 1

Answer:

Hi ur answer is x=30

Step-by-step explanation:

(3x+25)+(2x+5)=180

5x+30=180

5x=150

x=30

Answer 2

Answer :-

• The value of x is 30°.

To find :-

• The value of x.

Step-by-step explanation :-

• Here, it is given that (3x + 25) and (2x + 5) are 2 supplementary angles. We have to find the value of x!

We know that :-

$\bigstar \: \underline{ \boxed{\sf Supplementary \: angles \: add \: up \: to \: 180^{\circ}}}$

Here,

• The angles are (3x + 25) and (2x + 5).

Therefore,

$\dashrightarrow\bf(3x + 25) + (2x + 5) = 180$

$\dashrightarrow\bf3x + 25 + 2x + 5 = 180$

$\dashrightarrow\bf3x + 2x + 25 + 5 = 180$

$\dashrightarrow\bf5x + 25 + 5 = 180$

$\dashrightarrow\bf5x + 30 = 180$

$\dashrightarrow\bf5x = 180 - 30$

$\dashrightarrow\bf5x = 150$

$\dashrightarrow\bf x = \cancel{\dfrac{150}{5}}$

$\dashrightarrow\bf x = 30^{ \circ}$

So, the supplementary angles are :-

$\rm3x + 25 = 3 \times 30 + 25 = 115^{ \circ}$

$\rm2x + 5 = 2 \times 30 + 5 = 65^{ \circ}$

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Verification -

• To check our answer, let's add 115° and 65° and see whether we get 180° [As supplementary angles add up to 180°]

$\sf 115^{\circ} + 65^{\circ} = 180^{\circ}$

We get 180° on adding 115° and 65°.

Hence verified!!

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