Question

in fig 1.1 LPOR and LQOR form a linear pair . of a-b =80 find a and b.

Answer 1

HEY THERE ..!!

HERE IS YOURS SOLUTION;

◆ Given:

● ∠POR & ∠QOR forms linear pair.

● ∠a - ∠b = 80°

◆ To Find:

● ∠a & ∠b

◆ Solution:

We know that;

∠a + ∠b = 180° 【Linear pair angles】

=> ∠a = 180° - ∠b -------1)

Now, we have given that;

∠a - ∠b = 80°

So, we put value of ∠a in this;

180° - ∠b - ∠b = 80°

=> 180° - 2∠b = 80°

=> -2∠b = -100°

=> 2∠b = 100°

=> ∠b = 50°

Now, we put the value of ∠b in eq" 1) ;

∠a = 180° - ∠b

=> ∠a = 180° - 50°

=> ∠a = 130°

★So, ∠a = 130° & ∠b = 50°★

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