Polygons and Angles Questions and Answers

At the beginning of an examination the clock in the examination room was set to read 2 p.m. The examination ended at 5 p.m.

At the beginning of an examination the clock in the examination room was set to read 2 p.m. The examination ended at 5 p.m.

Calculate the obtuse angle, in degrees, between the hour hand and the minute hand of a clock at 12.30 p.m.

In the diagram, the lines $ABC$ and $PQR$ are parallel. The triangle $AQB$ is equilateral. Given that $Q\hat{R}B = 37°$, calculate $R\hat{B}C$, in degrees.

In the diagram, ABC is an isosceles triangle with AB = AC and angle ABC = 68°. ACD is parallel to PBQ. Calculate (i) angle BCD, (ii) angle PBA.

In the diagram, MNC is a triangle in which angle MNC = 64°. A is a point inside the triangle such that AM = AC, angle AMN = 42°, angle ACN = 26°, angle AMC = x° and angle CAM = y°. (i) Find the value of y, [2] (ii) Find the value of x. [2]