Question

If angles a and b form a linear pair and a-2b=30°, then find the values of a and b

Answer 1

a - 2b = 30° ------ (1)

a + b = 180° ------(2)

On subtracting equation 1 from 2, we get

3b = 150°

=> b = 50°

a = 180 - 50

=> a = 130°

Answer 2

The values of a and b are given by a = 130° & b = 50°

Given :

The angles a and b form a linear pair and a - 2b = 30°

To find :

The values of a and b

Solution :

Step 1 of 2 :

Form the equations to find the values of a and b

Here it is given that the angles a and b form a linear pair

We know that , the sum of two angles in a linear pair is 180°.

∴ a + b = 180° - - - - - - (1)

Again the given equation is

a - 2b = 30° - - - - - - - (2)

Step 2 of 2 :

Find the values of a and b

Equation 1 - Equation 2 gives

3b = 150°

⇒ b = 150°/3

⇒ b = 50°

Putting the value of b in Equation 1 we get

a + 50° = 180°

⇒ a = 180° - 50°

⇒ a = 130°

Hence the values of a and b are given by a = 130° & b = 50°

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