Asprinkler swings back and fourth between a and b in such a way that < 1 is congruent to < 2. < 1 and < 3 are complementary, and < 2 and < 4 are complementary. if m< 1=47.5 degress, find m< 2, m< 3, and m< 4

m∠2=47.5°

m∠3=42.5°

m∠4=42.5°

Step-by-step explanation:

We are given in the question that m∠1=47.5 degrees=47.5°.

" Angles are congruent if they have the same angle measure in degrees" (1)

As we are given that ∠1 is congruent to ∠2.

This implies from statement (1) that:

m∠2=47.5 degrees=47.5°

" Complementary Angle: Two Angles are Complementary when they add up to 90 degrees (a Right Angle)."

In the question we are given ∠1 and ∠3 are complementary.

This means ∠1+∠3=90°

⇒   ∠3=90°-∠1

⇒  ∠3=90°-47.5°=42.5°

Hence, m∠3=42.5°

Also we are given that  ∠2 and ∠4 are complementary.

This means ∠2+∠4=90°

⇒    ∠4=90°-∠2

⇒    ∠4=90°-47.5°=42.5°

Hence, m∠4=42.5°.

step-by-step explanation:

and 90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u

read more on -

a.for lorena 14 hours makes $126   for 16 hours she makes 144

for julie 6 hours makes $72 for 21 hours its $252

b. julie makes more money than lorena julie makes $12 an hour and lorena makes $9  

.