Question

Triangle ABC contains two angles that measure 56 and 47 degrees each. Triangle DEF also contains two angles that measure 56 and 47 degrees. The measure of the third angles of both triangles must be _____ degrees

Answer 1

Answer: Equal/same which is 77 degrees

Step-by-step explanation: This is because if two of the angles of the triangles are same then the third angle will also be the same. This can be showed by a proof like:

You know that the sum of a triangle's angles are 180 degrees. So If you add 56+47 the remaining angle value is same for both triangle ABC and DEF. The remaining angle is 77 degrees.

Answer 2

• 77 degrees

Step-by-step explanation:

According to the triangle angle sum theorem, interior angles sum to 180 degrees:

• x + 56 + 47 = 180
• x + 103 = 180
• x = 180 - 103
• x = 77