In Fig. 8.5, angle.ABC is isosceles with AB = AC. Find the values of x and y.
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In Fig. 8.5, angle.ABC is isosceles with AB = AC. Find the values of x and y.
In Fig. 8.5, angle.ABC is isosceles with AB = AC. Find the values of x and y.
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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