Answer:
A
Step-by-step explanation:
(I hope it is right)
Answer:
See explanation
Step-by-step explanation:
Triangles ΔABC and ΔBAD are congruent. So,
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Consider triangles AEC and BED. In these triangles,
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (as vertical angles).
So, ΔAEC ≅ ΔBED. Thus,
AE ≅ EB.
This means that segment CD bisects segment AD.
Answer:obtuse
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
You use the side oppo the angle and the side that is labelled in trigonometry
<h3>Answer: 72 degrees</h3>
================================
Explanation:
Use the inscribed angle theorem to go from inscribed angle D = 66 to 2*66 = 132. The central angle is double that of its corresponding inscribed angle.
This means arc ABC has measure 132 degrees.
The minor arc BC is 97 degrees, so
(minor arc AB) + (minor arc BC) = arc ABC
(minor arc AB) + (97) = 132
minor arc AB = 132-97
minor arc AB = 35
and
(minor arc DA) + (minor arc AB) = arc DAB
(109) + (35) = arc DAB
144 = arc DAB
arc DAB = 144
Now use the inscribed angle theorem again. Cut the arc measure DAB in half to get its corresponding inscribed angle measure (angle C)
144/2 = 72
<h3>angle C is 72 degrees</h3>
