Question

If m<ABD = 47°, what are m<ABC and m<DBC?​

Answer 1

Considering that angle ABD is formed by the combination of angles DBC and ABC, we have that the measures of the angles are given as follows:

• m<DBC = 21.6º.

• m<ABC = 25.4º.

How is angle ABD formed?

Angle ABD is formed by the combination of angles DBC and ABC. Their measures are given by:

• m<ABD = 47º.

• m<DBC = (5x + 2)º.

• m<ABC = (8x - 6)º.

Hence we apply the combination of the angles to find x, as follows:

5x + 2 + 8x - 6 = 47.

13x = 51.

x = 51/13

x = 3.923.

Hence the measures are given by:

• m<DBC = 5 x 3.923 + 2 = 21.6º.

• m<ABC= 8 x 3.923 - 6 = 25.4º.

More can be learned about the combination of angles at https://brainly.com/question/12261058

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