∠dhg= 4x+12 and ∠bgh=8x-24. find the measure of ∠dhg

by property of parallel lines (lines DH and BG are parallel):

∠DHG = 180° - ∠BGH  [∵ corresponding angles are equal]

⇒ 4x + 12 = 180 - (8x - 24)

⇒ 12x -12 = 180

⇒ 12x = 192

∴ x = 16

now substituting this value of x in ∠DHG:

4 × 16 + 12 = 76°

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas