Question

In the given figure, ∠AOC and ∠BOC form line AB. If a - b = 80° , find the value of a and b​

Answer 1

Answer:

a = 130°,  b=50°

Steps:

From the information:

∵a - b = 80°,  a + b = 180°,

∴a = 80 + b,   a = 180 - b

∴b = 80 + a ,  b = 180 - a

Using Substitute method:

a + b = 180

a = 180 - b

Now substitute 180 - b for a in the equation a - b = 80, and solve the rest of the equation.

( The a in a - b = 80 will become 180-b, making the following equation)

180 -b - b = 80

-2b + 180 =80

-2b = 80 - 180

-2b = -100

-2b/2 = -100/2

b = 50°

a = 180 - b

Substitute 50 for b in a = 180 - b

a = 180 -50

a = 130°