ACT Math · Question of the Day

ACT Math Question of the Day

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Friday, August 7, 2026

Lines $m$ and $n$ are parallel, and a transversal $t$ crosses them. The angle in the upper intersection that is above line $m$ and to the right of $t$ is $50^\circ$ . The corresponding angle at the lower intersection (above line $n$ and to the right of $t$ ) is labeled $x$ .

   m  ⇒ ⇒ ⇒
       / 50°
      /
     /
   n  ⇒ ⇒ ⇒
       / x

If lines $m$ and $n$ are parallel, what is the measure of angle $x$ ?

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Question of the Day

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   m  ⇒ ⇒ ⇒
       / 50°
      /
     /
   n  ⇒ ⇒ ⇒
       / x

If lines $m$ and $n$ are parallel, what is the measure of angle $x$ ?

$130^\circ$
$40^\circ$
$50^\circ$ (correct answer)
$90^\circ$

Explanation: The $50^\circ$ angle and angle $x$ are corresponding angles formed by a transversal crossing parallel lines m and n. When a transversal intersects parallel lines, corresponding angles are congruent and have equal measures. Thus, angle $x$ measures $50^\circ$ , matching the given corresponding angle. Corresponding angles occupy the same relative position at each intersection, such as both above the line and to the right of the transversal. Choice A of $130^\circ$ could arise from confusing corresponding with supplementary relationships.