Answer:
m∠JLN = 42°
m∠MLK = 90°
m∠KLO = 42°
m∠JLO = 138°
m∠AGE = 160°
Step-by-step explanation:
m∠JLN =
°
m∠MLK = 90°
m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)
m∠JLO =
°
For the second question, things become somewhat more complex.
We know that ∠GHD =
° and ∠AGH
°.
You correctly calculated that
°.
∠AGE is equal to both
° and
°. Either equation will work just fine.
∠AGE =
°
So m∠AGE = 160°
Answer:
sqrt(10) *x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + (3x)^2 = hypotenuse ^2
x^2 + 9x^2 = hypotenuse ^2
10x^2 = hypotenuse ^2
Take the square root of each side
sqrt( 10x^2) = sqrt(hypotenuse ^2)
sqrt(10) * x = hypotenuse