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Geometry and Trigonometry / Lines, angles, and triangles Difficulty: Easy

In the figure, two lines intersect at a point. Angle $1$ and angle $2$ are vertical angles. The measure of angle $1$ is $72 degree$ . What is the measure of angle $2$ ?

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Explanation

Choice A is correct. It’s given that angle $1$ and angle $2$ are vertical angles, and the measure of angle $1$ is $72 degree$ . Vertical angles have equal measures. Therefore, the measure of angle $2$ is $72 degree$ .

Choice B is incorrect. This is the measure of an angle that is supplementary, not congruent, to angle $1$ .

Choice C is incorrect. This is the sum of the measures of angle $1$ and angle $2$ .

Choice D is incorrect and may result from conceptual or calculation errors.