Question

the second angle of a triangle is 3 times the first and the third is 12 degree less than twice the first find the measures of the angles​

Answer 1

Answer:

32 , 96 , 52

Step-by-step explanation:

1st angle = x

2nd angle = 3x

3rd angle = 2x - 12

⇒x + 3x + 2x - 12 = 180

⇒6x = 180 + 12

⇒6x = 192

⇒x = 192 / 6

⇒x = 32

1st angle = 32

2nd angle = 96

3rd angle = 52

Answer 2

Answer :

The angles are 32, 96, 52.

Step-by-step explanation :

Given that :

The second angle of a triangle is 3 times the first and the third is 12 degree less than twice the first.

To Find :

The measures of the angles​.

Solution :

$\star\;\textbf{\underline{\underline{Consider as -}}}$

The first angle as "x"

The second angle  as "3x."

The third angle  as  " 2x - 12."

We know that :

The sum of all angles of triangle equals 180°.

So,

$\tt \implies x + 3x +2x -12 = 180^{\circ}\\ \\\implies 6x-12 = 180^{\cric}\\ \\ \implies + 12 ,+12\quad \quad (Add\ 12\on\ both\ sides.)\\ \\\implies 6x= 192\\ \\\implies x=32$

Hence, 1st angle is 32

⇔ 2nd angle :

⇒ 3 × 32 = 96.

⇔ 3rd angle :

⇒ 2 × 32 12

⇒ 64 - 12 = 52

$\bigstar\;\textbf{\underline{\underline{Hence, The angles are 32, 96, 52.}}}$