Question

For the acute angles in a right triangle, sin (4x)° = cos (3x + 13).
What is the number of degrees in the measure of the smaller angle?

Answer 1

Answer:

44°

Step-by-step explanation:

Answer 2

The measure of smaller angle is 11 degrees.

Acute angles :

For the acute angles in a right triangle ,

             $cos(90-\theta)=sin\theta$

Given expression is,

               $sin (4x)= cos (3x + 13)\\\\cos(90-4x)=cos(3x+13)\\\\90-4x=3x+13\\\\7x=77\\\\x=77/7=11degree$

Learn more about the acute angles here:

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