What is m∠d ?
enter your answer in the box.

You have to use a series of postulates and theorems to answer the question. First, you have to find <CED. In order to do that, you need to use the Triangle Sum Theorem and Vertical Angles Theorem and find <AEB. You will get E as 121. Using this, you can find the angle missing in triangle CED. Using the Vertical Angles Theorem, <CED is 121°. Now, use the same Triangle sum theorem to find <CDE. You will get 32°. 

Angle D is 32°

Hope I helped! :D

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice