C. 0.04 would be the correct answer.
L = 0 bcause it cancels itself out
Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T
Answer:
C. 95°
Step-by-step explanation:
Sumplementary angles sum 180°
144° + a = 180°
a = 180° - 144°
a = 36°
121° + b = 180°
b = 180° - 121°
b = 59°
The sum of internal angles of a triangle is 180°
a + b + c = 180°
36° + 59° + c° = 180°
c° = 180° - (36°+59°)
c° = 180° - 95°
c° = 85°
then:
c + n = 180°
85° + n = 180°
n = 180° - 85°
n = 95°
Answer:
b (1/15)
Step-by-step explanation:
