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°.
Answer:
50%
Step-by-step explanation:
75/150 = x/100
x = 50
Answer:
Step-by-step explanation:
First, divide by 2 from both sides of equation.
Then, solve.
Subtract by 6 from both sides of equation.
Solve to find the answer.
, which is our answer.
Answer:
B = 22
C = 122
D = 36
Step-by-step explanation:
The angles of a triangle add to 180. Take the measure of each angle add them together. Set them equal to 180.
2x + x + 4 + 7x - 4 = 180
10x = 180
x = 18
To find each angle, substitute x = 18.
Angle B is 18 + 4 = 22
Angle C is 7(18) - 4 = 122
Angle D is 2(18) = 36
Answer:
Option B, 1
Step-by-step explanation:
tan 45° = 1/1 = 1