As shown in the figure, if the diagonals of rectangle ABCD intersect at point O, AE bisector angle bad intersects BC at e, and angle CAE = 15 degrees, then the angle BOE=

Because ABCD is a rectangle, angle bad = angle ABC = 90 degrees, Ao = Bo, because AE bisects angle bad, so angle BAE = 45 degrees, because angle CAE = 15 degrees, so angle Bao = 60 degrees, triangle AOB is an equilateral triangle, Bo = AB, angle ABO = 60 degrees, so angle OBC = 30 degrees, because angle ABC = 90 degrees, angle BAE = 45 degrees, so angle ae

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1. As shown in the figure, in the rectangle ABCD, the diagonal AC and BD intersect at the point O. is there a circle so that all four points of ABCD are on the circle? If there is one Please point out the center and radius of this circle. If it doesn't exist, explain why
2. Known: as shown in the figure, in rectangular ABCD, the diagonal intersects at point O, ∠ AOB = 60 °, AE bisects ∠ bad, AE intersects BC at E. calculate the degree of ∠ BOE
3. Known: as shown in the figure, in rectangular ABCD, the diagonal intersects at point O, ∠ AOB = 60 °, AE bisects ∠ bad, AE intersects BC at E. calculate the degree of ∠ BOE
4. Known: as shown in the figure, in the isosceles trapezoid ABCD, ab = CD, ad ‖ BC, e is a point outside the trapezoid, and EA = ed, prove: EB = EC
5. 1. Given that e is the midpoint of the edge BC of the parallelogram ABCD and EA = ed, it is proved that the four deformed ABCD is a rectangle 2. The bisector of an inner corner of a rectangle divides an edge of the rectangle into 6cm. What is the length of the bisector of the inner corner of the rectangle when it is 8cm? 3. In rectangular ABCD, ab = 2BC, e is a point on CD, and AE = AB, what is the degree of ∠ EBC? 4. AC is the diagonal of square ABCD, AE bisects ∠ BAC, proving: ab + be + AC 5. In rectangular ABCD, M is the midpoint of AD, CE ⊥ BM, the perpendicular foot is e, ab = 4cm, BC = 4 レ 2cm, find the length of Ce (Note: 4 レ 2 →→→ 4 times root 2) Wealth, No picture. Thank you
6. As shown in the figure, in the parallelogram ABCD, AC and BD intersect at point O, e is the outer point of the parallelogram ABCD, EA ⊥ EC, ed ⊥ be
7. As shown in the right figure, in the trapezoidal ABCD, AD / / BC, the area of triangle Abe is 30 square centimeters, EC = 2ae, calculate the area of trapezoidal ABCD The figure is trapezoid with two diagonals The order is (from left to right) ADB The focus is e
8. As shown in the figure, in the right angle trapezoid ABCD, ∠ C = 90 °, ad ‖ BC, AD + BC = AB, e is the midpoint of CD. If ad = 2, BC = 8, calculate the area of △ Abe
9. As shown in the figure, in the trapezoidal ABCD, ab ‖ CD is known, and point E is the midpoint of BC. If the area of △ DEA is S1 and the area of trapezoidal ABCD is S2, then the quantitative relationship between S1 and S2 is______ ．
10. As shown in the figure, in the trapezoidal ABCD, AD / / BC, ab = CD, e is the midpoint of BC It's in the mathematics evaluation manual of the ninth grade volume I of Jiangsu Education Press.
11. As shown in the figure, in rectangular ABCD, AC and BD intersect at point O, AE bisects ∠ bad, BC intersects at E. if ∠ EAO = 15 °, then the degree of ∠ BOE is______ Degree
12. In rectangle ABCD, AC BD intersects with 0 AE bisector angle bad if ∠ EAO equals 15 degrees and BOE equals 15 degrees=
13. As shown in the figure, in rectangular ABCD, AC and BD intersect at point O, AE bisects ∠ bad, BC intersects at E. if ∠ EAO = 15 °, then the degree of ∠ BOE is______ Degree
14. In rectangular ABCD, diagonal lines AC and BD intersect at point O, AE bisects ∠ bad, AE intersects BC at point E. if ∠ CAE = 15 °, what is the degree of ∠ BOE?
15. In rectangular ABCD, AC and BD intersect at point O, AE bisects the angle bad, and if the angle EAO = 15 °, calculate the degree of the angle BOE I can't give you a picture
16. As shown in the figure: given rectangular ABCD, AC and BD intersect at O, AE ‖ BD, de ‖ AC. verification: OE ⊥ ad
17. It is known that: as shown in the figure, the diagonal of rectangle ABCD intersects at O, AE bisects ∠ bad intersects BC at e, ∠ CAE = 15 °, then ∠ BOE=______ °．
18. As shown in the figure, in rectangular ABCD, the bisector of ∠ bad intersects BC at point E, and point O is the intersection of diagonals, and ∠ CAE = 15 °, then ∠ BOE=______ Degree
19. As shown in the figure, in rectangular ABCD, the diagonal lines AC and BD intersect at point O, AE bisects ∠ bad, BC intersects at point E. if ∠ CAE = 15 °, calculate the degree of ∠ BOE
20. As shown in the figure, in the square ABCD, the diagonal AC and BD intersect at point E, AF bisects ∠ BAC, intersects BD at point F, and proves: EF + 12ac = ab