Question

In the following figure, AD is the bisector of angle BAC, find the measure of the unknown angles

Answer 1

Answer:

w= 70

x= 30

y = 40

z = 40

Step-by-step explanation:

w = 180 - 110 = 70 ( supplementary angles or linear pair)

z = 110 - 70 = 40 (remote interior angle theory - exterior angle is sum of remote interior angles)

y = z = 40 (AD is the angle bisector of angle BAC)

x + y + 110 = 180 ( angle sum property)

x + 40 + 110 = 180

x + 150 = 180

x = 180 - 150

x = 30

I hope it helps

Answer 2

Answer:

w is 70 degree

z is 40 degree

x is 40 degree

y is 30 degree

Step-by-step explanation:

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