Question

one angle of a triangle is equal to the sum of the other two. if the ratio of the other two angles is 7:8, find the angles of the triangle?

Answer 1

others be 7x and 8x
So given first angle = 7x + 8x = 15x
now by angle sum property of triangle
$7x + 8x + 15x = 180 \\ 30x = 180 \\ x = 180 \div 30 \\ x = 6 \\ 7x = 7 \times 6 = 42 \\ 8x = 8 \times 6 = 48 \\ 15x = 15 \times 6 = 90$
hope it helps