1. In the figure shown, e1 || 12. If m<3 = 83, a. Determine the measures of the other seven angles in the figure
118
27
316
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x Clear
Undo
- Redo
m <1 =
m <2 =
1
m <3 = 830
m <4=
m <5 =
m <6 =
m <7=
m <=
b. Choose one of the angle measures you found and justify your answer.

Answer/Step-by-step explanation:

Given:

m<3 = 83°

The following are the angle measures of the seven angles including the justification of each answer.

m<1 = m<3 (corresponding angles are congruent)

m<1 = 83° (substitution)

m<2 + m<3 = 180° (same side consecutive interior angles are supplementary)

m<2 = 180° - m<3 (Subtraction property of equality)

m<2 = 180 - 83

m<2 = 97°

m<4 + m<3 = 180° (linear pair)

m<4 = 180 - m<3 (Subtraction property of equality)

m<4 = 180 - 83 (substitution)

m<4 = 97°

m<5 = m<3 (vertical angles are congruent)

m<5 = 83°

m<6 = 180° - m<3 (linear pair theorem)

m<6 = 180 - 83°

m<6 = 97°

m<7 = m<3 (alternate interior angles are congruent)

m<7 = 83°

m<8 = m<6 (corresponding angles are congruent)

m<8 = 97°

h

step-by-step explanation:

correct answers below: