Geometry Find the measure of one of the interior angles of a regular pentagon(Figure 4). (Try slicing the pentagon, like a pizza, into five congruent triangles.)

Q: 13) Your class is having a class picture taken on the lawn. The photographer is positioned 14 feet…

A: In △DBCtan 50=BCBDBC=tan 50 x BD      =14x1.192       =16.688 ft From △ACD, AB=BC because BD…

Q: 14. Rectangle Find the measures of the angles between the diago- nals of the rectangle whose…

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Q: Find the missing angle of a triangle. The comdition are: The triangle is isosceles. One angle of…

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Q: The measures of the exterior angles of a pentagon are a, 3x", 4x", 5x°, and 7x°. Find the measure of…

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Q: 15. Think About a Plan You and a friend are cutting triangles out of felt for an art project. You…

A: To cut congruent triangles and each triangle must have two side of 5-inches and a 40° angle. To…

Q: 37. Geometry Use the figure to find the measure of each angle. (4x-1)° (2x + 13)° (x+14)°

A: Given that, <a=4x-1)° V-2x+13)° and <c-(x+14)°We have to find measusre of each angleSince,…

Q: ERROR ANALYSIS Describe the error in finding the angle measure. X 122 m/1122° - 70° 70 = 52⁰ So, m/1…

A: Describe the error in finding the angle measure :

Q: - A student inscribes a triangle inside a circle. The triangle divides the circle into arcs with the…

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Q: Write a proof of the Polygon Exterior Angle-Sum Theorem. The sum of the measures of the exterior…

A: Our Aim is to Proof the Polygon Exterior Angle-Sum Theorem.

Q: a) Sketch a regular 9-sided polygon and state its name. Example how you know it’s a regular 9-sided…

A: a)

Q: 50° What fact will help you to find the measure of angles B and C in the diagram shown? A) An…

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Q: ​Quadrilateral ABCD​ is inscribed in this circle. What is the measure of angle A? (2x-40) and 116…

A: Given,             ∠A=2x-40             ∠B=116             ∠D=x°

Q: Find the sum of the interior angles of a dodecagon. Show your work to support your answer. B u|三 三 Σ…

A: A dodecagon is a type of polygon with these properties: It has two dimensions It has 12 straight…

Q: Six angles of a heptagon measure 107°. 139°, 131°, 110°, 145°, and 128°. What is the measure of the…

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Q: In triangle ABC, c-150 cm, angle C-70°, angle A=45°. Determine the length of the median drawn from…

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Q: The measures of the angles of a triangle are shown in the figure below. Find the measure of the…

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Q: 21. Classify the pairs of angles from the figure below.

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Q: Rectangle Find the measures of the angles between the diago- nals of the rectangle whose vertices…

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Q: What is the area of the client’s current work triangle? How do you know? (context and clients…

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Q: Match the vocabulary term to its definition number of square [ units enclosed by a [ Choose ]…

A: Definition of measurement associated with polygons are given we have identify the correct term for…

Q: . Vocabulary Draw isosceles AJKL with ZK as the vertex angle. Name the legs, base, and base angles…

A: To set up the triangle ∆JKL

Q: 3. Angle A in triangle ABC is obtuse. Can angle B or angle C be obtuse? Explain your reasoning.

A: Given: Angle A in triangle ABC is obtuse.  To explain: Can angle B and angle C be obtuse.

Q: Question A polygon has an Interior angle sum of 1,980°. How many sides must the polygon have? The…

A: Sum of all interior angles of polygon = (n-2)180°  Here n=number of sides

Q: 4. A triangle has angle measures x+15, 3x-35, and 4x. What type of triangle is it? Be as specific as…

A: Given, The three measures of angles of a triangle are First angle = x+15 Second angle = 3x-35 Third…

Q: Draw a concave pentagon that has:  one interior reflex angle.  two interior reflex angles.

A: As we know the definition of reflex angle, Reflex Angle:- The reflex angle is the larger angle. It…

Q: curved path through a rectangular yard. the curved path consists of of two 92 degrees arcs. he plans…

A: An arc of a circle is any portion of the circumference of a circle. To recall, the circumference of…

Q: B ARCHITECTURE In an A-Frame house, the roof extends to the ground level. If each side of the roof…

A: Consider the following figure:

Q: III. WRITING How can you tell which side of a triangle is the longest from the angle measures of the…

A: To Discuss: Which side of a triangle is the longest and which side is shortest using the angle…

Q: A cross section of the rectangular prism is outlined in black on the diagram. Which two statements…

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Q: Geometry > C.3 Identify complementary, supplementary, vertical, adja Which angle is supplementary to…

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Q: The measures of the angles of a triangle are shown in the figure below. Find the measure of the…

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Q: 5. The triangles shown are isosceles triangles. Do you have enough information to show that the…

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Q: 17. A local park in the shape of a triangle is being redesigned. The fencing around the park is made…

A: Solution:-

Q: 39. Think About a Plan AABC = ADBE. Find the value of x. • What does it mean for two triangles to be…

A: Topic = Triangle   Two triangles are congruent if their corresponding sides and angles are…

Q: Write the proof : The external angle bisector of two angles of a triangle intersects the internal…

A: ∠1 = ∠2               (AD or AF is a angle bisector )∠3= ∠4                (BF is a angle bisector…

Q: Using Polya's Four Steps, Determine the number of different triangles that can be drawn given eight…

A: Given number of non collinear points=8 And for a triangle we have to join 3 non coolinear points.

Q: 2. A triangle has sides of lengths 15, 23, and 28. Is it a right triangle? Explain.

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Q: ERROR ANALYSIS Describe the error in finding mZA. 120 50C Opposite angles of a kite are congruent,…

A: For the kite triangle, the two angles are equal where the unequal sides meet. Here ∠B=∠D and…

Q: Za and Zb are complementary angles. Za measures 67°. What is the measure of Zb?

A: topic - angles sum of complementary angles is 90

Q: D 14 C

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Q: 6. To estimate the width of an archaeological mound, archaeologist place two stakes on opposite ends…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Za and Zb are complementary angles. Za measures 55°. What is the measure of Zb? Stuck? Review…

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Q: An exterior angle of a triangle measures 105°. One of the nonadjacent interior angles measures 40°.…

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Q: The vertex angle of an isosceles triangle is 32°. Find the measure of the other two angles. type…

A: Explained below

Q: AAA: Is it possible to create two different triangles using 3 angles of the same measure?

A: Yes, we can construct two different triangles using 3 angles of the same measure with differing in…

Q: The diagram shows a convex polygon. What is the sum of the exterior angle measures, one at each…

A: We can find the sum of exterior angles as below.

Q: 5. Reason abstractly. How many different angles does the figure include? Name them.

A: