Question

Given: Quadrilateral ABCD is inscribed in Z. is tangent to Z.
Prove: m∠XAD + m∠YAB = m∠C

Answer 1

2 Column Proof Please

Answer 2

we knowed the property of a Quadrilateral is inscribed in circle, the measure opposite angles has sum 180, so according ur diagram it has to
<A + <C = 180 degrees or
<C = 180 - <A

Answer 3

also, according diagram :
<XAD + <A + <YAB = 180 degrees (supplement angles)

Answer 4

<XAD + <A + <YAB = 180
subtract by <A from both sides
<XAD + <A + <YAB - <A = 180 - <A
<XAD + <YAB = 180 - <A

Answer 5

because 180-<A = <C
proof that :
<XAD + <YAB = <C

Answer 6

Omg I love you! (No Homo of course)

Answer 7

Thank You!!

Answer 8

hehe, you're welcome ;)