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
MatroZZZ [7]
3 years ago
9

In isosceles $\triangle abc$ (with $ab = ac$), point $d$ lies on $ab$ such that $cd = cb$. if $\angle adc = 115^\circ$, what is

$\angle acd$ (in degrees)?
Mathematics
2 answers:
77julia77 [94]3 years ago
5 0

Answer:

15

Step-by-step explanation:

We know that angle CPB = 180 deg - 115 deg = 65 degrees and that triangles CPB and ABC are isosceles so that angle ABC = angle ACB = 65 degrees. Finally, we calculate the measure of angle ACP:

angle ACP = angle ACB - angle PCB = 65 deg - 180 deg - 2(65 deg)) = 15 degrees.

Nuetrik [128]3 years ago
3 0

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

3. Triangle ABC is isosceles, with base BC. Then

m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

4. Angles BCD and DCA together form angle ACB. This gives you

m∠ACB=m∠ACD+m∠BCD,

m∠ACD=65°-50°=15°.

Answer: 15°.

You might be interested in
Find the area of the triangular prism for a chance to get brainlest
Oduvanchick [21]

Answer:

57.09

Step-by-step explanation:

8 0
3 years ago
Please Help!! :D<br><br> Find the value of y.
rjkz [21]

Answer:

y=2\sqrt{2}

Step-by-step explanation:

The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,

a^2+b^2=c^2

Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),

a^2+b^2=c^2

Substitute,

(1)^2+(y)^2=(3)^2

Simplify,

(1)^2+(y)^2=(3)^2

1+y^2=9

Inverse operations,

1+y^2=9

y^2=8

y=\sqrt{8}

Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: (\sqrt{a*a}=a),

y=\sqrt{8}

8=2*2*2

y=\sqrt{8}

y=\sqrt{2*2*2}

y=2\sqrt{2}

4 0
3 years ago
Please help
Lapatulllka [165]
I think it’s A.6.3
Sorry if I’m wrong but I’m pretty sure it’s that.
7 0
4 years ago
In Δ,∠=70°,∠=50° ∠ . <br> ℎ ∠.
AveGali [126]

Answer:

100°

Step-by-step explanation:

A triangle is a polygon shape with three sides. Triangles are of different types such as obtuse, scalene, equilateral, isosceles etc.

In triangle ABC:

70° + 50° + ∠C = 180° (sum of angles in a triangle)

120 + ∠C = 180

∠C = 180 - 120

∠C = 60°

Since ∠C is bisected into ∠ACD and ∠BCD, hence:

∠ACD = ∠BCD = ∠C / 2

∠ACD = ∠BCD = 60 / 2

∠ACD = ∠BCD = 30°

In triangle ACD:

∠A + ∠ACD + ∠ADC = 180° (sum of angles in a triangle)

50 + 30 + ∠ADC = 180

∠ADC + 80 = 180

∠ADC = 100°

6 0
3 years ago
Max has more than 5 carrots (number of carrots Max has = c) ​
Ainat [17]

Answer:

The right answer is five

4 0
2 years ago
Other questions:
  • Samantha works part time at a store where she earns $462.30 each month
    12·1 answer
  • A rectangle has a length of 12 millimeters and a width of 17 millimeters.
    9·2 answers
  • Determine the prime factorization of 24.
    6·1 answer
  • How do you solve (2z-3)(4z-7)=0
    14·2 answers
  • Question 1 (1 point)
    13·1 answer
  • Graph y=4x-9<br> If you add explanation will give branliest
    8·1 answer
  • What is the probability of landing on an even number? (Write your final answer as a percentage.)
    11·2 answers
  • What is the product of 3x+4 and 6x2−5x+7?
    9·1 answer
  • The perimeter of a rectangle is 32 inches. The length is 1 foot, what is the width of the rectangle in inches?
    15·2 answers
  • -4 2/3= 2n/3 + 1/3 +n/3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!