Question

If m∠ABD = 75°, what are m∠ABC and m∠DBC?

Answer 1

The sum of angles in a triangle is 180°. If m∠ABD = 75°, the sum of ∠ABC and ∠DBC is 105° because they both share ∠ABD. The exact measurement of each depends on additional information.

Step-by-step explanation:

In order to answer this question, it's important to first note that the sum of angles in a triangle is always 180°. So, if m∠ABD = 75°, and assuming that ∠ABC and ∠DBC are part of this triangle and share ∠ABD, then we can deduce that:

1. First, determine the remaining angle measurement in the triangle by subtracting m∠ABD from 180. So, 180 - 75 = 105.
2. Since both ∠ABC and ∠DBC share ∠ABD, the sum of m∠ABC and m∠DBC equals 105°.
3. The exact values of m∠ABC and m∠DBC would be dependent on additional information not provided in the question. If ∠ABC and ∠DBC are equal (for instance, in an isosceles triangle), they would each be 52.5°.

Learn more about Angles in a Triangle