Question

In the figure given below AB || CD, ∠1 : ∠2 = 3 : 2. Find the value of ∠6.

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Let $\angle$1 and $\angle$2 be 3x and 2x

As we know angle on a straight line is ${180}^{\circ }$,

so, 3x + 2x = ${180}^{\circ }$

⇒ 5x = ${180}^{\circ }$

⇒ x = ${36}^{\circ }$

⇒$\angle$6 = $\angle$2 = 2x = 2 × 36 = ${72}^{\circ }$ ( ∠6 and ∠2 are corresponding)

Hence, $\angle$6 = ${72}^{\circ }$