Question

What is the z terms of x and y? Z A yº 十, B C​

Answer 1

Step-by-step explanation:

™SOLUTION

In the given ΔABC, we need to convert z in terms of x and y

Now, BC is a straight line, so using the property, “angles forming a linear pair are supplementary”

∠ABC + y = 180

∠ABC =180° - y°

Similarly,

∠ACB + x° = 180°

∠ACB = 180° - x

Also, using the property, “vertically opposite angles are equal”, we get,

z = ∠BAC

Further, using angle sum property of the triangle

∠BAC + ∠ABC + ∠ACB = 180°

z° + (180°- y°) + (180° - x°) = 180°

360° + z° - y° - x° = 180°

180° + z° = y° + x°

z° = y°+ x° -180°

Thus, z = y + x -180°

Answer 2

Answer:

Value of z in terms if x and y is, x+y-180°