Complement of 22, and m22 36°. Find m21.
5. 23 is a supplement of 24, and m24
75° Find m23

m∠1 = 54°

m∠3 = 105°

Step-by-step explanation:

The sum of the measures of the complementary angles is 90°

The sum of the measures of the supplementary angles is 180°

∵ ∠1 is a complement of ∠2

∴ m∠1 + m∠2 = 90°

∵ m∠2 = 36°

→ Substitute it in the rule above

∴ m∠1 + 36 = 90

→ Subtract 36 from both sides

∴ m∠1 + 36 - 36 = 90 - 36

∴ m∠1 = 54°

∵ ∠3 is a supplement of ∠4

∴ m∠3 + m∠4 = 180°

∵ m∠4 = 75°

→ Substitute it in the rule above

∴ m∠3 + 75 = 180

→ Subtract 75 from both sides

∴ m∠3 + 75 - 75 = 180 - 75

∴ m∠3 = 105°

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation:

answer: 5

step-by-step explanation: