As shown in the figure, in △ ABC, ∠ BAC = 4 ∠ ABC = 4 ∠ C, BD ⊥ AC, the vertical foot is D, find the degree of ∠ abd

As shown in the figure, in △ ABC, ∠ BAC = 4 ∠ ABC = 4 ∠ C, BD ⊥ AC, the vertical foot is D, find the degree of ∠ abd

If ∵ BAC = 4 ∵ ABC = 4 ∵ C (known), ∵ BAC + ∵ ABC + ∵ C = 180 °, i.e. ∵ C = ∵ ABC = 180 × 16 = 30 ° (equality property), ∵ DAB = ∵ C + ∵ ABC = 30 ° + 30 ° = 60 ° (additive property), ∵ BD ⊥ AC (known), ∵ BDA = 90 ° (vertical definition), ? abd = 90 ° - 60 ° = 30 °

In the triangle ABC, the angle BAC = 4, the angle c, BD is perpendicular to AC and D. find: (1) the degree of the angle BAC; (2) the degree of the angle abd
In △ ABC, ∠ BAC = 4 ∠ C, BD is perpendicular to AC and D, find: (1) degree of ∠ BAC; (2) degree of ∠ abd
In △ ABC, ∠ BAC = 4 ∠ ABC = 4 ∠ C, BD ⊥ AC in D, find: (1) degree of ∠ BAC; (2) degree of ∠ abd

∠BAC=4∠ABC=4∠C,∠BAC+∠ABC+∠C=180°
So ∠ BAC = 120 °∠ ABC = ∠ C = 30 °
BD is perpendicular to AC and D is on Ca extension line
Because ∠ ABC = ∠ C = 30 °
Therefore, ABC + C = DAB = 60 degree
And BD is perpendicular to AC and D
Therefore, abd = 30 degree

In the triangle ABC, the angle BAC = 4, ABC = 4, C, BD, perpendicular foot and AC, find the degree of angle abd

In the triangle ABC, because the angle BAC = 4, the angle ABC = 4, the angle BAC + the angle ABC + the angle c = 180 degrees,
So the angle BAC is 120 degrees,
Because BD is perpendicular to AC,
So the angle ADB is 90 degrees,
Because the angle BAC = angle abd + angle ADB, (triangle exterior angle theorem)
So angle abd = angle BAC -- angle ADB
=120 through 90 degrees
=30 degrees

In the triangle ABC, the angle ABC = 4 times the angle c, BD is perpendicular to Ca, BD intersects CA extension line at point D, and calculates the degree of angle abd

Hello
As for this question, my opinion also has scope but no precise explanation
Excuse me, is there no problem with the title you gave?
The reading of angle abd is directly related to △ ABC. However, according to the question design, we can only grasp the relationship of angle, which is lack of knowledge, such as the relationship of edge, or some indirect angle
The above answers are the same as those above