Find m∠1 a. 38 degrees b. 42 degrees c. 52 degrees d. 78 degrees

Let's solve this problem step-by-step.

Let's first establish the following formula:

Angle sum of a triangle = 180°

Also, note that the square shape in the top-right corner of the triangle indicates that it is a right-angle. This means that, that angle is equal to 90°.

Now, let's establish the equation we will be using to solve this problem based on the previous information as displayed below:

m + 38° + 90° = 180°

We will now simply solve the equation in order to obtain the value of ( m ) as display below:

m + 38° + 90° = 180°

m = 180 - 38 - 90

m = 52°

ANSWER:

Therefore, the answer is:

C. 52 degrees.

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