Geometry Answers

One of the adjacent angles is two times larger than the other. Find these angles.

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Cycle's wheel radius is 45 cm. Find the number of it's turnings while riding from school to home if distance between is 1 km.

Can both the adjacent angles be (a) acute angles, (b) obtuse angles, (c) right angles?

Two straight lines, which intersect, are given. Can a third line, which is parallel to each of given lines, be drawn?

Can the line, which doesn’t contain any of triangle’s vertices, intersect all sides of this triangle? Why?

Can a straight line, which intersects one of the parallel straight lines, do not intersect the other?

The triangle ABC is given. Is there a triangle ABD, which is equal to triangle ABC? Explain your answer.

Is there a point X, different from B, on the half-straight line AB, for which AX=AB? Explain your answer.

There is a line and five points, which do not belong to this line. Two of these points belong to the first half-plane, and three other points – to the second half-plane. Each pair of points is connected by a segment. How many segments intersect the line?