In a plane, the distinct lines 𝐴𝐵↔ and 𝐶𝐷↔ intersect at A, where A is between C and D. The measure of ∠𝐵𝐴𝐶 is 54∘. What is the measure of ∠𝐵𝐴𝐷 .
Question
In a plane, the distinct lines 𝐴𝐵↔ and 𝐶𝐷↔ intersect at A, where A is between C and D. The measure of ∠𝐵𝐴𝐶 is 54∘. What is the measure of ∠𝐵𝐴𝐷 .
Solution
The measure of ∠BAD can be found using the fact that the sum of the angles on a straight line (or around a point on a line) is 180°.
Given that ∠BAC = 54°, we can subtract this from 180° to find ∠BAD.
So, ∠BAD = 180° - 54° = 126°.
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