58: 5
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given: z1 is complementary to 22.
what is the missing statement in step 3 of the proof?
@
22 is complementary to 23.
omz1 = m22
prove: mz1 = m23
om 21+ m 22 = 90°
@
m22 = m 23
om 22 + m 23 = 180°
statements
1. z1 is comp. to 22
2. z2 is comp. to 23
3. ?
4. mz1 = 90°-m22
5. m22+m23 = 90°
6. m23 = 90°-m22
7. m1 = m23
reasons
1. given
2. given
3. def. of comp. zs
4. subtr. equality prop.
5. def. of comp. zs
6. subtr. equality prop.
7. trans, prop