Answer:
Step-by-step explanation:
First Problem:
Given: m< ABC = 70; m< ADC = 46
line AC and line BD are perpendicular bisectors based on the definition of parallelograms.
m< 4 = 90
Line BD bisects < ABC
70/2 = 35
m< 2 = 35 ; m< 3 = 35
Line BD bisects < ADC
46/2 = 23
m< 8 = 23 ; m< 9 = 23
All the three angles of a triangle add up to 180.
180 - (90 + 35) = 55
m< 1 = 55 ; m< 5 = 55
180 - (90 + 23) = 67
m< 6 = 67 ; m< 7 = 67
Third Problem:
<BCE = <ECD because line AC bisects <BCD
9x - 1 = 2x + 13
9x - 2x = 13 + 1
7x - 14
x = 2 ; m< ECD = 2
line AC and line BD are perpendicular bisectors based on the definition of parallelograms. So, <CED = 90
All the three angles of a triangle add up to 180.
180 - (90 + 2) = 88
m< EDC = 88
