Consider the following system of equations:
y = –2x + 3
y = x – 5

which description best describes the solution to the system of equations? (4 points)

lines y = –2x + 3 and y = 3x - 5 intersect the x-axis.
line y = –2x + 3 intersects line y = x – 5.
lines y = –2x + 3 and y = 3x – 5 intersect the y-axis.
line y = –2x + 3 intersects the origin.

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°