Question

Angle POR and angle ROQ from linear pair . If a-b=


`{80}^(0)`
find the value a and b .
​

Answer 1

a = 130°, b = 50°

Step-by-step explanation:

The given equation is,

→ a - b = 80°

→ a + b = 180°

The equation we form is,

→ (a + b) + (a - b) = 180 + 80

Now the required value of a will be,

→ (a + b) + (a - b) = 180 + 80

→ (a + a) + (b - b) = 260

→ 2a = 260

→ a = 260/2

→ [ a = 130° ]

Hence, the value of a is 130°.

Then the required value of b will be,

→ a + b = 180

→ 130 + b = 180

→ b = 180 - 130

→ [ b = 50° ]

Hence, the value of b is 50°.

Answer 2

a = 130

b = 50

Step-by-step explanation:

Analyze that the angles a and b lies on a straight line summing up to 180°.

Equation's:

• a + b = 180 ____eq 1

• a - b = 80 ____eq 2

make 'a' subject in eq 1

a + b = 180

a = 180 - b

substitute this into eq 2

a - b = 80

(180 - b) - b = 80

180 - 2b = 80

-2b = 80 - 180

-2b = -100

b = 50

Find value of 'a':

a = 180 - b

a = 180 - 50

a = 130