Given: mZ3 = m 24
Prove:
Z1, Z2 are supplementary
STATEMENT
REASON
1. m Z3 = m 24
1. given
2. Z2, Z3 are supplementary
2.
sides in
rays
3.m2 2 + m 2 3 = 180°
3. Definition of
angles
4.m Z2 + m 2 4 = 180°
4. Substitution
5. m Z1 = m 24
5. Opposite rays
are supplementary
6. m2 2 + m Z1 = 180°
6
7. Z 1,22 are supplementary
7. Definition of
angles

Find the measure of the interior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon, a decagon, a 30-gon, a 50-gon, and a 100-gon.

Find measure angle 1 and measure angle 3 in the kite the diagram is not drawn on the scale

1. according to the internal revenue service, the mean tax refund for the year 2007 was $2,708. assume the standard deviation is $650 and that the amounts refunded follow a normal probability distribution. a. what percent of the refunds are more than $3,000? b. what percent of the refunds are more than $3,000 but less than $4,000? c. what percent of the refunds are less than $2,000?