Question

roberts parents put tile down on the floor in their home. the tiles are different sizes and shapes. one tile has an angle of 64°. another tile has an angle of 67°. these two tiles are next to each other so that the 64° angle and the 67° angle share a vertex and a side. what is the measure of the angle that these two angles form? enter your answer in the box.

Explanation:

Step1: Analyze the relationship between the angles

Since the two angles share a vertex and a side, the measure of the angle they form is the sum of the two angles.

Step2: Calculate the sum

We need to find \(64^{\circ}+ 67^{\circ}\).
Using addition: \(64 + 67=(60 + 4)+(60+7)=(60 + 60)+(4 + 7)=120+11 = 131\)

Answer:

\(131\)