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
IRINA_888 [86]
2 years ago
13

In the given figure find the value of x and y?Show you works - Thank you!​

Mathematics
1 answer:
Vaselesa [24]2 years ago
4 0

<u>EXPLANATION</u><u>:</u>

In ∆ ABC , ∠ABC = 40°

  • ∠CAB = x°
  • & ∠ACD = 50°

∠ACD is an exterior angle formed by extending BC to D

We know that

The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.

∠ACD = ∠CAB + ∠ABC

⇛50° = x° + 40°

⇛x° = 50°-40°

<h3>⇛x° = 10°</h3>

and

In ∆ ACD , AC = CD

⇛ ∠CDA = ∠CAD

Since the angles opposite to equal sides are equal.

Let ∠CDA = ∠CAD = A°

We know that

The sum of all angles in a triangle is 180°

In ∆ ACD,

∠CDA +∠CAD + ∠ACD = 180°

A°+A°+50° = 180°

⇛2A°+50° = 180°

⇛2A° = 180°-50°

⇛2A° = 130°

⇛A° = 130°/2

⇛A° = 65°

now,

∠CDA = ∠CAD = 65°

∠BAC + ∠CAD+y = 180°

Since angles in the same line

10°+65°+y = 180°

⇛75°+y =180°

⇛y = 180°-75°

<h3>⇛y = 105°</h3>

<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.

You might be interested in
Answers please??????
11Alexandr11 [23.1K]
The area of the sector is
.. Asector = (1/2)r^2*θ = (1/2)*(8.35 ft)^2*(π*260°/180°) ≈ 158.195 ft^2

The area of the triangle is
.. Atriangle = (1/2)r^2*sin(θ) = (1/2)*(8.35 ft)^2*sin(100°) ≈ 34.332 ft^2

The shaded area is
.. A = Asector +Atriangle
.. = 158.195 ft^2 +34.332 ft^2
.. ≈ 192.5 ft^2
8 0
3 years ago
Can a line be collinear
LenKa [72]

We can have two or more points lying on the same line collinear.

So we can say points lying on same line are collinear but a line cannot be collinear.

7 0
3 years ago
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
kvv77 [185]
0=-x2+4x-2
+x2-4x+2=+x2-4x+2
___________________
x2-4x+2=0

(-4)^2-4(1)(2)

16-8

Final Answer: 8

3 0
2 years ago
Read 2 more answers
Me compro un Frigorífico de 352,1 w de potencia, si la conecto a la red de 240 voltios. ¿Que intensidad de corriente (Amperios)
Tems11 [23]

Answer:

the answer is c

Step-by-step explanation:

8 0
3 years ago
liam had a container of oatmeal that contained 5 1/2 cups of oatmeal. Liam ate 4/9 cup of oatmeal every morning before school fo
MakcuM [25]

Answer:

3 5/18 cups of oatmeal are left in the container.

Step-by-step explanation:

4/9 times 5 = 20/9

5 1/2 = 11/2

11/2 - 20/9 = 99/18 - 40/18

= 59/18

= 3 5/18

4 0
2 years ago
Other questions:
  • 90+90+(2x+4)+(3x-29)=360?
    14·1 answer
  • There is a 5% per year decline in water in the following reservoir. if the reservoir had 2000 gallons of water in year 2001, how
    10·1 answer
  • Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles
    8·1 answer
  • a baseball player gets a hit 40% of the time if the weather is good but only 20% off the time if it is not good weather. The wea
    6·1 answer
  • Sam plays a game using a spinner like the one below which event or complement has a probability of 3/4
    9·1 answer
  • How can you put (6.4+0.92, 15.74-2.64) on a graph
    11·1 answer
  • I need help with problems 1 and 2
    7·2 answers
  • I need help on this question
    12·1 answer
  • What’s 1+1 ?<br><br> A: 2<br> B: 69<br> C: 420<br> D: 3
    13·2 answers
  • I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Identify all the numbered angles that are congruent to the given
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!