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for same reason why you put y=80
Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).
vertical angles are equal, that is why measure of angle x is equal to measure of angle z

[QUOTE="MathLover1, post: 1103202, member: 280"] for same reason why you put y=80 Two intersecting lines form a[B] pair of vertical angles[/B]. The vertical angles are opposite angles with a common vertex (which is the point of intersection). [B]vertical angles [/B] are [B]equal, that is why measure of angle x is equal to measure of angle z[/B] [/QUOTE]