Analyze the diagram below and complete the instructions that follow. find ac.

B

Step-by-step explanation:

Since two sides of each triangle are same , the third side is same as well.

The angles marked 40 and 5t are equal, so we can find t:

Now, Side DM is 3t or 3(8)=24

Side CA (or AC) is same as DM = 24

Correct answer is B.

AC = 24

Step-by-step explanation:

Considering they are the same triangle:

5t = 40 degree

t =

t = 8

As DF and AC are equal

DF = 3t

Thus AC is also equal to 3t

AC = 3t = 3 (8 ) = 24

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°

26

step-by-step explanation: