Question

The sum of three angles (5x+4), (x-2), (3x+7) forms a straight angles. Find the types of angles.



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Answer 1

Step-by-step explanation:

straight angles= 180

5x+4+x-2+3x+7= 180

9x + 9= 180

x+1= 20

x=19

put the values in 1st angle we get

5x+4=99 degree means obtuse angle

x-2= 19-2= 17degree means acute angle

3x+7=57+7=64 degree means acute angle

HOPE YOU WILL GET YOUR ANSWER

Answer 2

Given data : The sum of three angles (5x+ 4), (x-2), (3x+7) forms a straight angle.

To find : The type of angles ?

Solution : A straight angle is equal to 180°.

Let, ∠a be ( 5x + 4 ) & ∠b be ( x - 2 ) & ∠c be ( 3x + 7 ).

So, here,

→ ∠a = 5x + 4 ......( 1 )

→ ∠b = x - 2 ......( 2 )

→ ∠c = 3x + 7 ......( 3 )

Now, according to given,

→ ∠a + ∠b + ∠c = 180

→ ( 5x + 4 ) + ( x - 2 ) + ( 3x + 7 ) = 180

→ 5x + 4 + x - 2 + 3x + 7 = 180 i.e.

→ 5x + x + 3x + 4 - 2 + 7 = 180

→ 6x + 3x + 4 + 5 = 180

→ 9x + 9 = 180

→ 9x = 180 - 9

→ 9x = 171

→ x = 171/9

→ x = 19

Now, by sustituting value of x in eq. ( 1 ), ( 2 ) & ( 3 ).

→ ∠a = 5x + 4 = 5 * 19 + 4 = 99°

→ ∠b = x - 2 = 19 - 2 = 17°

→ ∠c = 3x + 7 = 3 * 19 + 7 = 64°

Now, type of angle

→ ∠a is obtuse angle (99°)

→ ∠b is acute angle (17°)

→ ∠c is acute angle (64°)