Question

In triangle fgh cong triangle lmn.; m angle f=52^ , and m angle m=67^ , what is the measure of angle h^ prime ? just type the number no degrees . in blank 2, state the theorem that helped you solve this problem.

a) 61, Angle Sum Property of Triangles
b) 48, Corresponding Angles Postulate
c) 58, Alternate Interior Angles Theorem
d) 71, Exterior Angle Theorem

Answer 1

The measure of angle H' is 61, and the Angle Sum Property of Triangles helped determine this answer by using the fact that the sum of the angles in a triangle is always 180 degrees.

Step-by-step explanation:

To solve the problem of a congruent triangle, we rely on some basic principles of geometry. Since triangles FGH and LMN are congruent, and we are given that m angle F = 52° and m angle M = 67°, we can use the Angle Sum Property of Triangles to determine the measure of angle H'. According to this property, the sum of the angles in a triangle must equal 180°.

For triangle FGH, we can calculate the measure of angle H' as follows:

1. 
   
2. 
   

Therefore, the measure of angle H' is 61, and the theorem that helped solve this problem is the Angle Sum Property of Triangles.