Question

the angles of a triangle are 3x + 12°,5x-6°and x+3° then measure of the largest angle is
>a)69°
>b)59°
>c)79°
>d)89°​

Answer 1

Solution :-

Given : The angles of a triangle are 3x + 12°, 5x - 6° and x + 3°.

We know that,

Sum of all angles of a triangle = 180°

According to the question,

=> 3x + 12° + 5x - 6° + x + 3° = 180°

=> 9x + 9° = 180°

=> 9x = 180° - 9°

=> x = 171°/9 = 19°

Therefore,

First angle = 3x + 12° = 3 × 19° + 12° = 69°

Second angle = 5x - 6° = 5 × 19° - 6° = = 89°

Third angle = x + 3° = 19° + 3° = 22°

Hence,

The measure of the largest angle is 89°

Answer 2

Hola!! ✨✨

    Here is your answer :-⬇⬇

We know that the sum of all the angles of a triangle is  180  degree
So, ↕

3x + 12 +5x -6 + x +3 = 180✔

Therefore,

$3x + 5x + x + 12 - 6 + 3 = 180$

$9x + 9 = 180 \\ \\ 9x = 180 - 9 \\ \\ 9x = 171 \\ \\ x = 19$

So, by putting 19 in place of x, we get⭐

$3x + 12 \\ \\ 3 \times 19 + 12 = 69$

Again,

$5x - 6 \\ \\ 5 \times 19 - 6 \\ \\ 89$

Again,

$x + 3 \\ \\ 19 + 3 \\ \\ = 22$

So, from the above discussion we conclude that the measure of the largest angle is 89 degree. ✔

Hope it helps!! ✌

Thanks!! ✌