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°

$x + x + x - 12 = 180$

$3x - 12 = 180$

$3x = 180 + 12$

$3x = 192$

$x = \frac{192}{3}$

$x = 64$

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° .