1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anastaziya [24]
2 years ago
8

In Triangle JKL, K is 3 times the measure of J, and L is 8 times the measure of J. Find the measure of each angle in Triangle JK

L.
Mathematics
1 answer:
emmainna [20.7K]2 years ago
6 0

Answer: The measure of angle J = 15°, measure of angle K  =45° and the measure of angle J = 120°.

Step-by-step explanation:

Let the measure of angle J be x.

Then, the measure of angle K will be 3x

and the measure of angle L = 8x

Since the sum of all angles of a triangle is 180 degrees.

Then,

angle J + angle K + angle L = 180 degrees

⇒ x+3x+8x =180

⇒ 12x = 180  

⇒x = 15  [divide both sides by 12]

Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.

i.e. the measure of angle J = 15°, measure of angle K  =45° and the measure of angle J = 120°.

You might be interested in
In the diagram of circle O, what is the measure of ? 27° 54° 108° 120°
vesna_86 [32]

Answer:

Option (2).

Step-by-step explanation:

This question is incomplete; here is the complete question and find the figure attached.

In the diagram of a circle O, what is the measure of ∠ABC?

27°

54°

108°

120°

m(minor arc \widehat {AC}) = 126°

m(major arc \widehat {AC}) = 234°

By the intersecting tangents theorem,

If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.

m∠ABC = \frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]

             = \frac{1}{2}(234-126)

             = 54°

Therefore, Option (2) will be the answer.

6 0
3 years ago
Read 2 more answers
Which statement about
Romashka-Z-Leto [24]
One of the factors is ( h - 7 ) that’s the answer
8 0
2 years ago
A rectangular rug has an area of 70 square feet and its width is exactly 3 feet longer than its length. What is the length, in f
LenKa [72]

Answer:

length=7feet.and width =10

8 0
3 years ago
What are the solutions of /x+6/is greater than or equal to 5. Write the solutions as either the union or the intersection of two
Stels [109]
X is greater than or equal to negative 1 and you would right 1 comma infinity
7 0
2 years ago
Are 8:12 and 4:5 equivalent? Please answer I need help.
Aloiza [94]
They are not equivalent because
4:5
x2 x2
=8:10
it does not equal 8:12
your welcome:)
5 0
2 years ago
Other questions:
  • If the area of the square is 36 inches squared, what is the shaded area?
    11·1 answer
  • Given: AC and DB are diameters. <br> m∠3=
    15·2 answers
  • Solve this question 6×(11+3)
    10·2 answers
  • What is an isosceles scalene and equadrilateral triangle
    7·2 answers
  • Pam is taking a train from the town of Rome to the town of Florence. Rome is located 40 miles due west of the town of Paris. Flo
    15·1 answer
  • I need it in (Expand and factor linear equations)
    11·1 answer
  • ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
    15·2 answers
  • What is a first step to isolate the variable ?btw it’s for iready lol
    7·2 answers
  • Solve for x in the diagram below.
    9·2 answers
  • What is the value of x?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!