which diagram shows possible angle measures of a triangle?
which diagram shows possible angle measures of a triangle?
Answer
Explanation:
Step1: Recall angle - sum property of a triangle
The sum of the interior angles of a triangle is always 180°.
Step2: Check each option
For the first option: (118^{\circ}+36^{\circ}+26^{\circ}=180^{\circ}). For the second option: (118^{\circ}+32^{\circ}+32^{\circ}=182^{\circ}\neq180^{\circ}). For the third option: (120^{\circ}+36^{\circ}+36^{\circ}=192^{\circ}\neq180^{\circ}). For the fourth option: (120^{\circ}+28^{\circ}+28^{\circ}=176^{\circ}\neq180^{\circ}).
Answer:
The first diagram (with angles (118^{\circ},36^{\circ},26^{\circ})) shows possible angle measures of a triangle.