Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find ( mangle 1 ). then classify the triangle by its angles. ( mangle 1…

Question

find ( mangle 1 ). then classify the triangle by its angles.
( mangle 1 = square^circ ).
the triangle can be classified by its angles as
right
obtuse
equiangular
acute

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This triangle has a right angle (\(90^\circ\)) and a \(38^\circ\) angle.

Step2: Calculate \(m\angle1\)

Let \(m\angle1 = x\). Then \(90 + 38 + x = 180\). Solving for \(x\): \(x = 180 - 90 - 38 = 52\).

Step3: Classify the triangle

Since one angle is \(90^\circ\) (a right angle), the triangle is a right triangle.

Answer:

\(m\angle1 = 52^\circ\). The triangle is classified as right.