Question

In figure if AE || DC and AB = AC, find the value of ∠ABD.​

Answer 1

Answer:

130°

Step-by-step explanation:

opposite angle of linear pair

Answer 2

Given:

In the given figure, AE║DC and AB=AC. ∠A=50°.

To Find:

The value of ∠ABD.

• Given options are : a)130°, b)110°, c)70°, d)120°

Solution:

• From the given diagram we see,
• AE║CD and AC is a divider. So ∠A=∠ACB=50°
• Now, AC=AB. So, ∠ACB=∠ABC=50°
• We know that when two angles are created at one side of a straight line then the sum of those angles is 180°.
• Here, ∠ABC and ∠ABD are situated at one side of the line CD.
• So, ∠ABC+∠ABD=180°
• ⇒∠ABD=180- ∠ABC
• ⇒∠ABD=180-50=130°

Final answer:

The value of ∠ABD is 130° [option a].