Beam BD divides the extended angle ABC into two angles so that the degree measure of angle ABD is 6.2 times less than the degree measure of angle CBD, what is the degree measure of angle ABD and CBD?
1. The degree measure of the ABD angle is x degrees.
2. Let’s calculate how many degrees is the adjacent angle CBD.
x * 6.2 = 6.2x degrees.
3. Using the equation, we determine the degree measure of the angle ABD.
x + 6.2x = 180;
7.2x = 180;
x = 180 / 7.2 = 25 °.
Answer: Angle ABD is x = 25 °, angle CBD is x * 6.2 = 25 * 6.2 = 155 °.
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