Answer:
The measure of angle DAC is 53 degrees.
Explanation:
To solve for the measure of angle DAC, start by realizing that the total measure of angle DAB is 90 degrees. The total measure of angle DAB is 90 degrees because there is a 90 degree box symbol representing angle DAB.
Now that the overall measure of angle DAB is known, we can look at the question, which says that the measure of angle CAB is 37 degrees. By knowing one of the angles in the total 90 degree angle, angle DAC can be found.
To find by the measure of angle DAC, start by writing an equation. The equation will look like:
the measure of angle DAC + the measure of angle CAB = the measure of angle DAB
Next, fill the equation in with the information given from the problem. The measure of angle DAC will be given the variable (x) since the measure of the angle is unknown. The equation will look like x+ 37 degrees= 90 degrees.
To solve the equation, subtract 37 degrees from both sides to get x by itself. Then, simplify the equation, and the final answer will be 53 degrees.
The measure of angle DAC is 53 degrees.