Question

if line ab and de are parallel find the value of ​

Answer 1

Answer:

• 104° is the measure of ∠BCA.

Step-by-step explanation:

Given :

In the figure, line AB and DE are parallel.

∠EDB = 40° & ∠CAB = 36°.

To find :

Value of ∠BCA.

Solution :

We see,

∠EDB = ∠CBA = 40°

• [∵ Alternate interior angles are equal]

Now,

In ΔCAB.

• Angle sum property.

⇒ ∠BCA + ∠CBA + ∠CAB = 180°

⇒ ∠BCA + 40° + 36° = 180°

⇒ ∠BCA + 76° = 180°

⇒ ∠BCA = 104°

∴ Measure of ∠BCA is 104°.