Question

Use the given information to find the measures of all the angles in the figure.

Answer 1

M∠3 = m∠5 = 47° (vertical angles)

m∠1 = 90°

m∠2 + ∠m3 = 90°  ⇒ m∠2 = 90 - m∠3 = 90 - 47 = 43°

m∠4 + m∠5 = 180°  ⇒  m∠4 = 180 - m∠5 = 180 - 47 =  133°

Answer:
m∠1 = 90°
m∠2 = 43°
m∠3 = 47°
m∠4 = 133°