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If BA = BC AND M BCA =48 degrees, what is m CXA?

If BA = BC AND M BCA =48 degrees, what is m CXA?-example-1

2 Answers

3 votes

Answer:

132

Explanation:

Just took the test.

User Hahaha
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2 votes

Answer:

132°

Explanation:

Given that BA ≅ BC then ∠BAC ≅ ∠BCA

Given that CE bisects ∠BCA, then ∠XCA = 48°/2 = 24°. Similarly, ∠XAC = 48°/2 = 24°

The addition of the angles of a triangle is equal to 180°. Therefore, in triangle XAC:

∠XCA + ∠XAC + ∠CXA = 180°

Replacing with previous results:

24° + 24° + ∠CXA = 180°

∠CXA = 180° - 24° - 24°

∠CXA = 132°

User PercyPham
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