While gardening, John spend 1 1 2 hours planting and 2 1 8 hours trimming. What was the total hours worked by John in his garden?

Total hours worked by John in his garden=3 5/8 hours.

Step-by-step explanation:

Time spent planting =1 1 /2 hours planting

Time spent trimming = 2 1 /8 hours

Total hours worked by John in his garden= Time spent planting +Time spent trimming

=1 1/2 + 2 1/8( add whole numbers together and fractions together)

= 3 4+1 /8

3 5/8 hours.

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°