In triangle ABC, AD and BE are altitudes and AP and BQ are angle bisectors at A and B respectively, where P lies on CD and Q lies on CE. If angle∠ PAD = 6° and angle∠QBE =18° , what is the degree of angle∠BCA?
In triangle ABC, AD and BE are altitudes and AP and BQ are angle bisectors at
A and B respectively, where P lies on CD and Q lies on CE. If angle∠ PAD = 6°
and angle∠ QBE =18° , what is the degree of angle∠ BCA?
In triangle ABC, AD and BE are altitudes and AP and BQ are angle bisectors at
A and B respectively, where P lies on CD and Q lies on CE. If
and
1 Answer
Apr 26, 2017
Explanation:
Let
In
In
Multiplying EQ(1) by 2, we get
Subtracting EQ(2) from EQ(3) yields:
Substituting
Hence,