Question

Assertion: In the figure AD = DC, ∠B = 56° and ∠ADB = 80°. ∴ AB > DC.

Reason: In a triangle, greater angle has longer side opposite to it.

Options

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

Both A and R are true and R is the correct reason for A.

Explanation:

In ΔADB,

∠ADB = 80° is greater than ∠B = 56°. 

So, the side opposite the greater angle (AB) is longer than AD.

Given AD = DC, we get

AB > DC

Hence, both A and R are true and R correctly explains A.