Double checking: On the first try I got 113, That turned out to the the wrong answer. I understand how 23 and 67 can be a answer but 77 I can’t seem to do the math for it, so if someone can help me get the right answer, please and thanks.

∠DCE = 67

Step-by-step explanation:

In triangle DCE,

∠DCE + 23 + 90 = 180 (angle sum property)

=> ∠DCE + 113 = 180

=> ∠DCE = 180 - 113

=> ∠DCE = 67

Hope it helps :)

Please mark my answer as the brainliest

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.