Question

angle 1 and angle 2 are complementary angles. angle 2 and angle 3 are supplementary angles. If angle 1 = 45 ,find the measure of angle 3.

Answer 1

if the given condition is that the angle 3 is 90

Answer 2

Answer:

135°

Step-by-step explanation:

To Find : the measure of angle 3.

Solution :

∠1 and ∠2 are complementary

So, ∠1+∠2 =90°  ---A

∠2 and ∠3 are supplementary angles.

∠2+∠3 =180°  --B

Now we are given that ∠1 = 45°

Substitute the value in A

45°+∠2 =90°

∠2 =90°-45°

∠2 =45°

Now Substitute the value of ∠2  in B

∠2+∠3 =180°

45°+∠3 =180°

∠3 =180°-45°

∠3 =135°

Hence  the measure of angle 3 is 135°