Select all the statements that must be true, A. The perimeter is x + y.
B. The perimeter is xy.
C. The perimeter is 2(x + y).
D. The perimeter is 2xy.
E. The perimeter is 2x + 2y.
F. The area is x + y.
G. The area is xy.
H. The area is 2.xy.

C.the perimeter is 2(x+y)

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°

the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation: