9. Lines A and B are parallel lines. Find the measures of angles 1, 2 and 3.

1= 33

2= 90

3= 57

Step-by-step explanation:

the agle thats 57° is alternate interior to ∠3 so ∠3= 57

so 33+ 57= 90 ⇒ 180- 90= 90 ⇒ ∠2= 90

57+ 90= 147⇒ 180- 147= 33

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°