All of the following are pythagorean identities except: a. sec^2(x) + 1 = tan^2(x) b. 1 + cot^2(x) = csc^2(x) c. sin^2(x) + cos^2(x) = 1 d. tan^2(x) + 1 = sec^2(x)

Only A is not Pythagorean Identity.

Step-by-step explanation:

Let us draw a unit circle as shown in the attached figure.

In the given figure, let us apply Pythagorean theorem, which is given by

Divide both sides by

Divide both side of identity C by  

Therefore, only A is not Pythagorean Identity.

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values

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°