Question

If angle C = 130° find the value of angle ABD

Answer 1

Answer:

The angle ABD will form as: 130-180= 50

= ABD=50°

Answer 2

the value of angle ABD is50, 58,72

Given

∠A + ∠B = 108°

⇒ ∠A = 108° – ∠B

∠B + ∠C = 130°

⇒ ∠C = 130° – ∠B

sum of angles in a triangle is 180°.

⇒ ∠A + ∠B + ∠C = 180°

⇒ (108° – ∠B) + ∠B + (130° – ∠B) = 180°

⇒ -∠B + 238° = 180°

⇒ -∠B = -58°

∴ ∠B = 58°

Now,

∠A = 108° – ∠B

⇒ ∠A = 108° – 58° = 50°

Also,

∠C = 130° – ∠B

⇒ ∠C = 130° – 58° = 72°

∠A = 50°, ∠B = 58° and ∠C = 72°.