. In the figure given along side, find the value of y and x.
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Answer:
In the given figure, side BC of △ABC is produced to D
Consider the △ABC
We know that the exterior angle of a triangle is equal to the sum of its interior opposite angles
∴ ∠ABC+∠BAC=∠ACD
xo+32o=65o
x=65o−32o
x=33o
Also, we know that the sum of all the angles of a triangles is 180o
∴ A+B+C=180o
32o+xo+yo=180o
32o+33o+yo=180o
y+65o=180o
y=180o−65o
y=115o
Hence, the value of x is 33o and value of y is 115o
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