There were 800 story books in three boxes. There were 278 story books in the first box. There were 29 more story books in the first box than in the second box. Find the number of story books in the third box.

273 story books are in the third box

Step-by-step explanation:

givens:

total= 800

1st box= 278

2nd box= 278-29

3rd box= 800- (1st box+ 2nd box)

3rd box= 800-[(278)+(278-29)]

3rd box= 800- (278+249)

3rd box= 800- 527

3rd box= 273 books

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°