Answer:
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°.
<em>" Angles are</em><em> congruent </em><em>if they have the same angle measure in degrees" ----(1)</em>
As we are given that ∠1 is congruent to ∠2.
This implies from statement (1) that:
m∠2=47.5 degrees=47.5°
<em>" Complementary Angle: Two Angles are </em><em>Complementary</em><em> when they add up to 90 degrees (a Right Angle)."</em>
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°.