Question

A billboard on level ground is supported by a brace, as shown in the accompanying diagram.The measure of angle A is 15º greater than twice the measure of angle B. Determine themeasure of angle B.BА55 degrees45 degrees30 degrees

Answer 1

In order to determine the measure of angle B, consider that the sum of the interior angles of a triangle is 180°. Moreover, take into account that the right angle is 90°, then, you have:

based on the given information, you have:

replace the previous expression into the equation and solve for

2simplify like terms left side23subtract 105° both sides33divide by 3 both sidesHence, the