Question

Find x° and yº in the following figure. A 40° 105° to yo B C D
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Answer 1

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 115