Question

Draw a triangle of circumradius 4 cm and two of the angles 65o, 550

Answer 1

Answer:

Step-by-step explanation:

Start with a circle with the given radius (3 cm).

Each of the vertices of the triangle will be on the circle. Each of the angles of the triangle will be inscribed angles of the circle. Since we are given two of the angle measurements, the third angle measurement can be found. The measure of an inscribed angle is half the measure of its intercepted arc. Need to make adjacent non-over-lapping arcs of 214, 71, and 75 degrees (just have to make two).

The reflex angle  ∠BAC  has a measure of  214

∠CAD  has a measure of 71

∠BAD has a measure of  360 − 214 − 71 = 75

The requested triangle is  △BCD.