Two complementery angels are drawn such that one angel is 10degree more than seven times the other angle. Find the measure of each angle

Answer 1

Two complementery angels are drawn such that one angel is 10degree more than seven times the other angle. Find the measure of each angle

Answer 2

b = 10 + 7 a
a = 90-b

a = 90 - 10 - 7 a
8 a = 80
all yours :)

Answer 3

complementary angles sum to 90º

a + b = 90º ... a = 90º - b

a = 7 b + 10º ... substituting ... 90º - b = 7 b + 10º

solve for b , then substitute back to find a