As shown in the figure, in the triangle ABC, < a = 55 ° and H is the intersection of high BD and EC, then < BHC=

＜BHC=＜DHE=360-90-90-55=125

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1. It is known that, as shown in the figure, in △ ABC, ∠ ABC = 66 ° and ∠ ACB = 54 ° be and CF are the heights of AC and AB on both sides, and they intersect at point h. calculate the degree of ∠ Abe and ∠ BHC
2. As shown in the figure, in the triangle ABC, angle A: angle ABC: angle ACB = 4:5:6, BD and CE are the intersection points h of height, BD and Ce on AC and ab respectively, and the degree of angle BHC is calculated
3. As shown in the figure, in the triangle ABC, the known angle ABC is 66 degrees, the angle ACB is 54 degrees, be is the height of AC, h is the intersection of be and CF, and the angle Abe and angle ACF are calculated Degree of sum angle bec
4. As shown in the figure, D is a point on the edge BC of △ ABC, ab = 2, BD = 1, DC = 3. Prove: △ abd ∽ CBA
5. D is a point on the bisector of an outer angle of the triangle ABC, connecting dB and DC to prove AB + AC < DB + DC
6. In the triangle ABC, ad is the angle bisector, ab = 5, AC = 4, BC = 7. Please use the method of similar triangle to find the length of BD and DC
7. In Δ ABC, ∠ C 〉 ∠ B, ad is perpendicular to point D, BC is equal to point D, AE is equal to ∠ BAC, please specify ∠ DAE = 1 / 2 (∠ B ∠ C)
8. As shown in the figure, in △ ABC, ∠ C = 90 °, the vertical bisector of AB intersects at point D, AB intersects at point E, the degree ratio of ∠ DAE and ∠ DAC is 2:1, and the degree of ∠ B is calculated
9. As shown in the figure, in △ ABC, ∠ C = 90 °, the vertical bisector of AB intersects at point D, AB intersects at point E, the degree ratio of ∠ DAE and ∠ DAC is 2:1, and the degree of ∠ B is calculated
10. In △ ABC, be bisects ∠ ABC, ad is the height on BC, and ∠ ABC = 60 ° and ∠ BEC = 75 ° to calculate the degree of ∠ DAC
11. As shown in the figure, in △ ABC, points E and G are on BC and AC respectively, CD ⊥ AB and ef ⊥ AB, and the perpendicular feet are D and f respectively (1) Is CD parallel to ef? Why? (2) The degree of ∠ ACB can be calculated when ∠ 1 = 2, ∠ 3 = 105 ° is known
12. It is known that in △ ABC, e and F are the midpoint of AB and AC respectively, CD bisects ∠ BCA and intersects EF with D Verification: ad ⊥ DC Why AF = CF = EF, ADC = 90
13. In the parallelogram ABCD, AE bisection ∠ DAB intersects DC with E, BF bisection ∠ ABC intersects DC with F, DC = 8cm, ad = 3cm, find the length of De, DF and FC RT
14. If ∠ BDC = x + 2 / 3 ∠ a, find the degree of X?
15. Known: as shown in the figure, ∠ abd = ∠ DBC, ∠ ACD = ∠ DCE. (1) if ∠ a = 50 °, find the degree of ∠ D; (2) guess the relationship between ∠ D and ∠ a, and explain the reason; (3) if CD ‖ AB, judge the relationship between ∠ ABC and ∠ a
16. If ∠ BDC = α + 2 / 3 ∠ a, α is obtained
17. In △ ABC, Sina * SINB = cos ^ 2 (C / 2), C = 4, C = 40 ° to find the value of A
18. As shown in the figure, it is known that AB / / CD, CE divide ∠ ACD equally, hand AB to e, ∠ a = 118 °, please fill in the reason for ∠ 2 = 31 °
19. Known: as shown in the figure, CE bisects ∠ ACD, ∠ 1 = ∠ B, verification: ab ‖ CE
20. As shown in figure a, CE / / AB, so ∠ 1 = 2 = B, so ∠ ACD = 1 + ∠ 2 = a + B, which is a useful conclusion, In the quadrilateral ABCD of figure B, do AE / / BC to intersect DC with e through A. if you have this conclusion, find the degree of ∠ a + ∠ B + ∠ C + ∠ D Figure a http://hiphotos.baidu.com/yalijudy/pic/item/099efed1bbb16a299a50274f.jpg Figure B http://hiphotos.baidu.com/yalijudy/pic/item/6750e5f54b044b34bd3109e2.jpg