If ABC = 50°, BAC = 80° in the given figure, find ACD.radio_button_unchecked130°radio_button_unchecked100°radio_button_unchecked140°radio_button_uncheckedNone of these
Question
If ABC = 50°, BAC = 80° in the given figure, find ACD.radio_button_unchecked130°radio_button_unchecked100°radio_button_unchecked140°radio_button_uncheckedNone of these
Solution 1
To find the angle ACD, we first need to find the angle ACB
Solution 2
To find the angle ACD, we first need to find the angle ACB.
We know that the sum of angles in a triangle is 180°.
So, in triangle ABC,
ACB = 180° - ABC - BAC = 180° - 50° - 80° = 50°
Now, we know that the angles on a straight line add up to 180°.
So,
ACD = 180° - ACB = 180° - 50° = 130°
So, the correct answer is 130°.
Solution 3
To find the angle ACD, we first need to find the angle ACB.
We know that the sum of angles in a triangle is 180°.
So, in triangle ABC,
ABC + BAC + ACB = 180°
Substituting the given values,
50° + 80° + ACB = 180°
130° + ACB = 180°
Therefore, ACB = 180° - 130° = 50°
Now, we know that the angles on a straight line add up to 180°.
So, ACD + ACB = 180°
Substituting the value of ACB,
ACD + 50° = 180°
Therefore, ACD = 180° - 50° = 130°
So, the correct answer is 130°.
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