According to the third angle theorem, .if a triangle has two acute angles, then the third angle must also be acuteb. if one angle of a triangle is congruent to another angle of the same triangle, then the third angle must also be congruentc. if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles is also congruentd. if the third angle of one triangle is congruent to the third angle of another triangle, then the two triangles are congruent

if two angles of one triangle are congruent to two angles of another

triangle, then the third pair of angles is also congruent ⇒ C

Step-by-step explanation:

* Lets revise the third angle theorem

- If two angles in one triangle are congruent to two angles in another

 triangle, then the third pair of angles must also congruent

# Example

- In Δ ABC and Δ XYZ

∵ m∠A = m∠X = 50°

∵ m∠B = m∠Z = 70°

∵ The sum of the measures of the interior angles in any triangle is 180°

∴ m∠A + m∠B + m∠C = 180°

∴ m∠X + m∠Y + m∠Z = 180°

∴ 50 + 70 + m∠C = 180° ⇒ 120 + m∠C = 180°

∴ 50 + 70 + m∠Z = 180° ⇒ 120 + m∠Z = 180°

- Solve the equations to find m∠C and m∠Z

∵ 120 + m∠C = 180° ⇒ subtract 120 from both sides

∴ m∠C = 180 - 120 = 60°

∵ 120 + m∠Z = 180° ⇒ subtract 120 from both sides

∴ m∠Z = 180 - 120 = 60°

∴ m∠C = m∠Z

∴ The third pair of angles must be congruent

* Lets solve the problem

- According to the third angle theorem

∴ If two angles of one triangle are congruent to two angles of another

  triangle, then the third pair of angles is also congruent

* The answer is C

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.