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lizzielife

Answer:

65

Step-by-step explanation:

since ACE is the bigger angle out of all of them, It is most likely 65. if the other one is 50 or higher, it will be more than the whole Triangle, which is 115 degrees. And since it is an Isosceles, Two angles need to be the same, and one different. One is 65 and (maybe) the other two are 25 and 25.

But it could also be 50, so be careful on what you choose.

Answer: 50

Step-by-step explanation:

115 and the angle above it <BDC are a linear pair (they sum to 180).

115+<BDC=180. Subtract 115 from both sides.

<BDC =65

Triangle ACE is an isosceles triangle , which means triangle BCD is also isosceles.

Isosceles triangles have the same base angles.

<BDC =65 So <CBD is also 65.

Use the triangle angle sum theorem to find the angle at the top, <BCD (which is also the vertex of triangle ACE)(these are interchangeable)

65+65+<ACE=180. Combine like terms.

130+<ACE= 180. Subtract 130 from both sides.

<ACE= 50

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