In ΔABC, D is a point on BC such that ∠ADB = 2 ∠DAC, ∠BAC = 70˚, and ∠B = 46˚. What is the measure of ∠ADC?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 52˚.
∠BAC = 70˚
∠BAD = 70˚ - x
In ΔBAD,
⇒ 46˚ + 2x + 70˚ - x = 180˚
⇒ 116˚ + x = 180˚
⇒ x = 64˚
⇒ 2x = 128˚
⇒ ∠ADC = 180˚ - 128˚ = 52˚