Question

30 POINTS! ASAP PLEASE ∠1 is a supplement of ∠2, and m∠1=123∘. ∠2 is a complement of ∠3. Find m∠3. m∠3=

Answer 1

angle 3 is 33 degrees.

Explanation:

complementary angle-adds up to 90 degrees

supplementary angle- adds up to 180 degrees.

if angle 1 is 123, then angle two is 180-123 degrees(57)

if angle two is 57 degrees, angle 3 is 90-57 degrees (33)

Answer 2

m∠3 = 33°

Explanation:

Since ∠1 and ∠2 are supplementary the sum of their angles is 180°

So to find ∠2 add ∠1 and ∠2 and equate them to 180° to solve for ∠2

So we have

∠1 + ∠2 = 180

∠2 = 180 - ∠1

From the question

m∠1 = 123°

So we have

∠2 = 180 - 123

∠2 = 57°

From the question , ∠2 is a complement of ∠3 the sum of their angles is 90°

That's

∠2 + ∠3 = 90

∠3 = 90 - ∠2

∠3 = 90 - 57

We have the final answer as

m∠3 = 33°

Hope this helps you