Question

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in figure 8.5 triangle ABC is isosceles with ab = AC find the values of X and Y

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-----BY DEEPIKA ☺✔⏩​

Answer 1

Answer:

Step-by-step explanation:

Triangle ABC is isosceles

⇒ AB=AC

⇒ ∠ABC = ∠ACB

Find ∠ABC :

Since ΔABC is isosceles

∠ABC = (180 - 30 ) ÷ 2 = 75º

Find x:

∠ABC and x are on a straight line

⇒ both angles add up to 180º

x = 180 - ∠ABC

x = 180 - 75 = 105º

Find y:

∠ACB = ∠ABC = 75º

∠ACB and y are on a straight line

⇒ both angles add up to 180º

y = 180 - ∠ACB

y = 180 - 75 = 105º

Answer: x = y = 105º

Answer 2

TRIANGLE ABC IS AN ISOSCELES TRIANGLE

✓ AB = AC

✓ <ABC = <ACB

Find <ABC

<ABC = (180-30)÷2=75°

Find x

<ABC and x are on the straight line

both angles add upto 180°

x = 180 – <ABC

x = 180°–75°

x = 105°

Find y

<ACB = <ABC = 75°

<ACB and y are on straight line

both angles add upto 180°

y = 180°–75°

y = 105°

The value of x = y = 105°

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