Question

Two angles of a triangle are the same

size. The third angle is 12 degrees
smaller than the first angle. Find the
meone the ongles

Answer 1

Let the measure of the first angle be = x

Let the measure of the second angle = x

Then , the measure of the third angle = x - 12

Let us find the value of all of these angles using the angle sum property .

Sum of all angles inside a triangle = 180°

`x + x + x - 12 = 180`

`3x - 12 = 180`

`3x = 180 + 12`

`3x = 192`

`x = (192)/(3)`

`x = 64`

Which means :-

`measure \: of \: the \: first \: angle = x = 64°`

`measure \: of \: second \: angle \: = 64°`

`measure \: of \: the \: third \: angle \: = x - 12 = 64 - 12= 52°`

∴ The measure of the first angle = 64° , the measure of the second angle = 64° and the measure of the third angle = 52° .