Question

If sum of two smaller angle of triangle is equal to greatest angle then find the greatest
angle.​

Answer 1

Answer:

$let \: the \: smaller \: angles \: be \: x \: and \: y$

$let \: the \: greates \: angle \: be \: z$

$from \: the \: equation$

$x + y = z \: \: (equation \: 1)$

$according \: to \: angle \: sum \: property$

$x + y + z = 180$

$x + y + x + y = 180 \: \: ( \: from \: equation \: 1)$

$2x + 2y = 180$

$2(x + y) = 180$

$x + y = \frac{180}{2}$

$x + y = 90$

$z = 90$

$therefore \: the \: greatest \: angle \: is \: 90 \: degrees$