Question

First look figure carefully and answer the given question: Find value of a - b = ?

(A) 40° (B) 180° (C) 30° (D) 50°​

Answer 1

Step-by-step explanation:

From the given figure ,

a = 110°

Since they are vertically opposite angles

and

a and b are the interior angles on the same side to the transversal

So they are supplementary

⇛a+b = 180°

⇛110° +b = 180°

⇛b = 180°-110°

⇛b = 70°

We have,

• a = 110°
• b = 70°

Their difference = a-b

⇛110°-70°

⇛40°

∴ a-b = 40°

Answer: Hence, the value of a-b is 40°

Additional comment:

Two parallel lines Intersected by a transversal then •Vertically opposite angles are equal. •Corresponding angles are equal. •Alternative interior angles are equal. •Interior angles on the same side to the transversal are supplementary. •Exterior angles on the same side to the transversal are supplementary.