In △bcd, d = 3, b = 5, and m∠d = 25°. what are the possible approximate measures of angle b?
a. only 90°
b. only 155°
c. 20° and 110°
d. 45° and 135°

D. 45° and 135°

Step-by-step explanation:

Here, the BCD is a triangle,

In which BC = d = 3 unit and CD = b = 5 unit,

And, ∠D = 25°,

By the sin law,

Hence, the possible value of angle B is 45° ( approx) in the triangle,

While the value of the exterior angle B = 180° - 45° = 135° ( linear pairs )

⇒ Option D is correct.

step-by-step explanation:

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