∠3 and ∠4 are complementary angles. m∠4=49° what is the measure of ∠3 ? enter your answer in the box.

The measure of ∠3 is 41°

Step-by-step explanation:

If two angles are given to be complementary then the sum of two complementary angles is always 90°

Now, it is given : ∠3 and ∠4 are complementary angles.

So, sum of both the angles, angle 3 and angle 4 will be 90°

⇒ m∠3 + m∠4 = 90°

Now, m∠4 is given to be 49°

⇒ m∠3 + 49° = 90°

⇒ m∠3 = 90° - 49°

⇒ m∠3 = 41°

Hence, The measure of ∠3 is 41°