Question

from the adjacent figure angle X=

A) 100`
B) 70`
C) 80`
D) 60`​

Answer 1

Given:

• ∠DAB = (2x - 11)°
• ∠DCB = (40 + x)°

To find:

1. Value of x = ?

Method:

First, let's learn the concept used

Concept Used:

In a parallelogram opposite angles are always equal.

Applying the above property,

(2x - 11)° = (40 + x)°

⇒ 2x - x = 40 + 11

⇒ x = 51°

∴ The value of x = 51°

∠DAB = 2x - 11°

= 2(51) - 11

= 102 - 11

∠DAB = 91°

∠DCB = 40 + 51

∠DCB = 91°