Question

2. Use the figure at the right. In the figure, line m is parallel to line n. Level (3-4)
If m∠4 = 131°, find each given angle measure. Justify your answer.

a. m∠8 =


b. m∠5


c. m∠2


d. m∠1


e. m∠6


f. m∠7

Answer 1

Answer/Step-by-step explanation:

Given:

m<4 = 131°

a. m<8 = 180 - m<4 (linear pair)

m<8 = 180 - 131 (substitution)

m<8 = 49°

b. m<5 = m<4 (alternate exterior angle are congruent)

m<5 = 131° (substitution)

c. m<2 = m<5 (vertical angles are congruent)

m<2 = 131° (substitution)

d. m<1 = m<8 (vertical angles are congruent)

m<1 = 49° (substitution)

e. m<6 = m<1 (vertical angles are congruent)

m<6 = 49° (substitution)

f. m<7 = m<4 (vertical angles are congruent)

m<7 = 131° (substitution)