Please help and explain why. i need this right now.

B

Step-by-step explanation:

m<1 = 47

m<2= 34

B

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

122° is an exterior angle to both triangles , then

∠ 1 + 75° = 122° ( subtract 75° from both sides )

∠ 1 = 47°

and

∠ 2 + 88° = 122° ( subtract 88° from both sides )

∠ 2 = 34°

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°

figure c

step-by-step explanation:

hope this .