Question

In Figure, if l||m , what is the value of x? (a) 60 (b) 50 (c) 45 (d) 30​

Answer 1

Answer:

60

Step-by-step explanation:

From the given picture we can say that ∠DBC + ∠CBA = 180°

It implies 7y° + 5y° = 180°

=> 12y° = 180°

=> y = 180°/ 12°

=> y = 15°

So, ∠CBA = 5y° = 5 × 15° = 75° and ∠BCA = 3y° = 3 × 15° = 45°

We also know that the sum of the angles of a triangle is 180°.

So, ∠BAC + ∠CBA + ∠BCA = 180°

=> x° + 75° + 45° = 180°

=> x° + 120° = 180°

=> x° = 180° - 120°

=> x° = 60°