Provide the missing statement and reasons for the following proof:
B
A
A
C D
=
Given: MZA+mZB=mZD
Prove: m2C + m2A +mZB = 180°
-
Reason
Statement
S1. MZA+MzB = MZD
R1. Given
S2. C and 2D form a Linear Pair
R2. Definition of Linear Pair
S3. ZC and 2D are supplementary
R3
S4.
R4. Definition of supplementary
S5. MLC + m2A + 2B
180°
R5.
List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f(x) between x = 0 and x = 10.