Question

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

Answer 1

The measure of ∠3 is 41°

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°

Answer 2

If the angles are complementary, the angles must add up to 90° degrees.

So, we can solve the problem by doing this:

90 - 49 (m <4)
= 41

So, the m <3 must equal to 41° degrees since 41 + 49 = 90.