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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°.