Question

the second angle of a triangle is five times as large as the first. the measure of the third angle is 12 degrees greater than that of the first angle. How large are the angles?

Answer 1

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hello Friend}}}$

Let the first angle be x
So, second angle will be 5x
And, third angle will be x+12

Now,
$x + 5x + (x + 12) = 180 \\ 7x + 12 = 180 \\ 7x = 180 - 12 \\ 7x = 168 \\ x = 24$

So, First angle = 24 degree
Second angle = 5×24 = 120 degree
Third angle = 24+12. = 36 degree

$\huge{\red{\boxed{\boxed{\boxed{\underline{Hope\: it\: helps\: you}}}}}}$

Answer 2

Hey mate....

here's ur answer.....

Let .....

first angle be x
second be 5x
third be x + 12

x + 5x + ( x + 12) = 180

= 7x + 12 = 180

= 7x = 180 - 12

= 7x = 168

= x = 168/7 = 24

$<marquee>First angle = 24 Second angle = 24 × 5 = 120 third angle = 24 + 12 = 36 </marquee>$