Question

8. One of the exterior angles of a triangle is 135º and the interior opposite angles are in the ratio 7:8. Find the
angles of the triangle​

Answer 1

Answer:

$we \: know \: that \: th e \:interior \: angle \: are \: in \: the \: ratio \: 7xand8x \\ \\ 7x + 8x = 135(sum \: of \: interior \: angle \: of \: triangle \: is \: equals \: to \: exrerior) \\ \\ 15x = 135 \\ \\ x = \frac{135}{15} \\ \\ 7x = 7 \times 9 = 63 \\ \\ 8x = 8 \times 9 = 72$