1-54.
yahoo! health reported in november 2014 that 6 out of 10 adults in the united states are obese or overweight. research
has shown coffee has several health-related benefits. one such benefit is an antioxidant, chlorogenic acid (cga), that may
protect against several obesity-related diseases. during a 15-week study, if 67 mice did not gain weight during the
test period and an additional 48 demonstrated insulin resistance, how many mice were positively affected by the injection
of the cga solution?

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°

answer: your correct answer is b. d.

step-by-step explanation: