5. In Fig. 8.5, AABC is isosceles with AB = AC. Find the values of x and y.
А
30°
B
С
xo
yº
Fig. 8.5
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Solution
This is isosceles triangle so its two angle will always be equal
Thus, the other two interior angles are = 30⁰+2(unknown angles) =180⁰=>2 unknown angle = 180⁰-30⁰= 150
Unknown interior angle= 150/2 =75⁰
Exterior angle = 180⁰-75⁰= 105⁰
Also it is given that x=y
- Thus x= 105⁰ and y= 105⁰
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