1. 满足下列条件的△ABC 中,不可能是直角三角形的是(
A. ∠A - ∠B = ∠C;
B. ∠A = ∠B = 2∠C;
C. 2∠A = 2∠B = ∠C;
D. ∠A = 3∠C,∠B = 2∠C.
B
)A. ∠A - ∠B = ∠C;
B. ∠A = ∠B = 2∠C;
C. 2∠A = 2∠B = ∠C;
D. ∠A = 3∠C,∠B = 2∠C.
答案
1. B.
2. 填空题:
(1)如图(1),若∠AOD = 115°,则∠A + ∠B + ∠C + ∠D =
(2)如图(2),若 AB // CD,AD 与 BC 相交于点 O,∠A = 50°,∠AOC = 85°,则∠C =
(3)如图(3),∠A + ∠B + ∠C + ∠D + ∠E + ∠F =

(1)如图(1),若∠AOD = 115°,则∠A + ∠B + ∠C + ∠D =
230
°;(2)如图(2),若 AB // CD,AD 与 BC 相交于点 O,∠A = 50°,∠AOC = 85°,则∠C =
35
°;(3)如图(3),∠A + ∠B + ∠C + ∠D + ∠E + ∠F =
360
°.答案
2. (1) 230. (2) 35. (3) 360.
3. 如图,已知∠A = 30°,∠B = 45°,∠C = 40°. 求∠DFE 的度数.

答案
3. $∠ DFE = 115°$.
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