find ( mangle1 ). then classify the triangle by its angles.( mangle1=square^{circ} ).the triangle can be…
find ( mangle1 ). then classify the triangle by its angles.( mangle1=square^{circ} ).the triangle can be classified by its angles as
Answer
Explanation:
Step1: Use the triangle angle - sum theorem
The sum of the interior angles of a triangle is (180^{\circ}). Let (m\angle1=x). Then (x + 78^{\circ}+31^{\circ}=180^{\circ}).
Step2: Solve for (x)
[ \begin{align*} x&=180^{\circ}-(78^{\circ} + 31^{\circ})\ x&=180^{\circ}-109^{\circ}\ x&=71^{\circ} \end{align*} ]
Step3: Classify the triangle by its angles
Since all angles ((71^{\circ}), (78^{\circ}), (31^{\circ})) are less than (90^{\circ}), the triangle is an acute triangle.
Answer:
(m\angle1 = 71^{\circ}). The triangle can be classified by its angles as an acute triangle.