Use the image to answer the question.

Question

The m ∠ 2 = 47°
. Use this information and the information on the diagram to answer all of the following parts. There are 6 parts worth 1 point each.

a. Write an equation to solve for the m∠1.

(1 point)
0Word(s)
Question 2
(1 point)
b. m ∠ 1 =

°
Question 3
(1 point)
c. m ∠ 2 =

°
Question 4
(1 point)
d. m ∠ 3=

°
Question 5
(1 point)
e. m ∠ 4 =

°
Question 6
(1 point)
f. m ∠ 5 =

°

Answer 1

a. The equation to solve for m∠1 is m∠1 + m∠2 = 180°.

b. m∠1 = 180° - m∠2 = 180° - 47° = 133°.

c. m∠2 = 47° (given).

d. m∠3 = m∠1 = 133°.

e. m∠4 = m∠3 = 133°.

f. m∠5 = m∠4 + m∠2 = 133° + 47° = 180°. Note that ∠5 is a straight angle, so its measure is 180°.