Question

if AD and BD are bisector of angle CAB and angle CBA, respectively find the sum of angles x and y

plz answer the question with attachment​

Answer 1

Answer:

x+y=35

Step-by-step explanation:

The picture in the attached figure

Step 1

we know that

It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.

Therefore,

x = ∠CAB/2 -----> equation 1

y = ∠CBA/2 -----> equation 2

Step 2

In triangle ABC,

∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]

∠CAB + ∠CBA + 110° = 180°

∠CAB + ∠CBA = 180° - 110°

∠CAB + ∠CBA = 70° ------> divide by 2 both sides

∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3

substitute equation 1 and equation 2 in equation 3

x+y=35

Hence,

the answer is

x+y =35°

⇒ x + y = 35° ...[From equation (1) and (2)]

HOPE IT HELPS