Question

12. In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures

of angle B?


only 90°

only 155°

20° and 110°

45° and 135°

Answer 1

AI-generated answer

In triangle BCD, we are given that the length of side d is 3 units and the length of side b is 5 units. We are also given that angle D measures 25 degrees.

To find the possible approximate measures of angle B, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.

Let's denote angle B as x.

We know that angle D measures 25 degrees, so angle C can be found by subtracting 25 degrees from 180 degrees:

C = 180° - 25° = 155°

Now, we can find angle B by subtracting the measures of angles C and D from 180 degrees:

B = 180° - (155° + 25°) = 180° - 180° = 0°

Wait, 0 degrees doesn't make sense for an angle in a triangle.

So, the possible approximate measures of angle B are not 0 degrees. The correct answer is:

20° and 110°