Question:
What is the measure of angle X?
The image of the measurements is attached below:
Answer:
The measure of angle x is 83°
Explanation:
Since, Vertical angles have equal measure,
Let us consider that the angle opposite to 41° is ∠y and they are equal.
i.e, ∠y = 41°
Since, the angles in a straight line add up to 180°, we have,
∠x + ∠y + 56° = 180°
Substituting the value ∠y = 41°, we have,
∠x + 41° + 56° = 180°
Adding the terms, we get,
∠x + 97° = 180°
Subtracting both sides by 97°, we get,
∠x = 83°
Thus, the measure of ∠x is 83°
