A square section ABCD has one of its sides equal to x. Point E is inside the square forming an equilateral triangle ??? having one side equal in length to the side of the square. Find the measure of angle ???.

A square section ABCD has one of its sides equal to x. Point E is inside the square forming an equilateral triangle ??? having one side equal in length to the side of the square. Find the measure of angle ???.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.5: Convex Polygons

Problem 4E: In pentagon ABCDE with BDE, find the measure of interior angle D.

See similar textbooks

Related questions

Q: Shown below is the regular 10-sided figure from above along with a related isosceles triangle.…

Q: Given that two sides of a right triangle measure 2 feet and 3 feet, respectively, with a hypotenuse…

A: Given that two sides of a right triangle are 2 feet and 3 feet and hypotenuse is x. Therefore , by…

Q: Can a triangle have sides with the given lengths? Yes No 6 in., 6 in., 12 in 12 ft., 6 ft., 7 ft. 2…

Q: . A triangle has sides of 10, 12, and 14 in. What are the measures of the angles of the triangle?

A: Given : Sides of an triangle 10,12,14 To Find: Angles of the triangle We can find the angle of…

Q: The radius of an inscribed circle is a perpendicular line segment from the incenter to any one side…

A: This question is related to Triangles, we will solve it using given information.

Q: Can the sides of a triangle have lengths 9, 4, and 9? yes no Submit

Q: Which set of lengths below will produce a right triangle, according to the converse of the…

Q: (a) What is the area of a triangle with sides of length a and band with included angle u?(b) What is…

A: a) Find the area of triangle with sides a and b and included angle u. b) Find the area with sides,…

Q: What is the length of the missing side in the given triangle? The figure is not drawn to scale. 8. O…

Q: The sides of a triangle have lengths of 22cm, 26cm, and 30 cm. Which of the following can be the…

A: The sides of a triangle have lengths of 22cm, 26cm, and 30 cm.

Q: 3. Can a triangle have sides with the given lengths? Yes NO 6 in., 6 in., 12 in 6 ft., 7 ft., 12 ft.

A: Since you have posted multiple questions, as per our policy we will answer first question (first…

Q: The measure of each interior angle of a regular polygon is 11 times that of an exterior angle. How…

Q: is a right triangle with the measure of X60 and the measure of I If IX 7, find the length of SI.

A: We know, tanθ=HeightBase

Q: Draw one obtuse isosceles triangle. By drawing the appropriate bisectors on the triangle, locate and…

Q: The radius of an inscribed circle is a perpendicular line segment from the incenter to any one side…

A: Given is the statement that The radius of an inscribed circle is a perpendicular line segment from…

Q: What is the measure of Zæ? Angles are not necessarily drawn to scale. в A 62°

A: Here we have to find the measure of ∠x .

Q: In the figure below, what is the length of side s?

Q: A carpenter joins four boards of lengths 6 ft, 6 ft, 4 ft, and 4 ft, in that order, to form…

A: The given figure is as shown below :

Q: 1. Can a triangle have sides with the given lengths? Explain. B. 7 ft, 13 ft, 6 ft A. 8 cm, 7 cm, 9…

A: The sum of the lengths of any two sides of a triangle must be greater than the length of the third…

Q: The sides of a triangle have lengths 5, 30, and 32. What kind of triangle is it?

A: We are solving the first question and for the next question post the question again and also mention…

Q: What is the length of the hypotenuse for a right triangle with legs of length 8 and 15? O 16 O 18 O…

A: For a right angled triangle, Using Pythagorean theorem, (Hypotenuse)2 = Sum of squares of other two…

Q: Consider a right triangle with side a opposite angle A, side b opposite angle B, and side c, the…

Q: Use the Pythagorean theorem, hypotenuse? leg? + leg?.Find the length of the missing side of the…

A: We have to find missing side length by using Pythagorean theorem for the given triangle: According…

Q: What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? O 43 O 45 O…

Q: A triangle has a midsegment that measures x in. If the length of the triangle's base is x + 33 in,…

A: Note:- According to company policy we can attempt ?️ only one question so please upload the next…

Q: a triangle with the base of 10 in and a height of 24 in Your answer a parallelogram with a height of…

A: Solve the following

Q: 2 The area of the triangle below is 80 in?. The radius of the circle inside is 4 in. How much of the…

Q: Is it possible to draw a triangle whose sides measure a) 7, 7, and 14? b) 6, 7, and 14? c) 6, 7, and…

A: It is known that if the sum of the lengths of two sides is more than the length of the third side…

Q: What is the length of EG? Triangle ABC is congruent to Triangle EFG. A 3 in 5 in E 90 B 4 in C 5 in

A: ∆ABC ≅∆EFG m∠ABC≅m∠EFG = 90°

Q: A circle is centered on point B. Points A, C and D lie on its circumference. If ZABC measures 70°,…

A: The angle subtended by an arc in the center of circle is twice the angle subtended at the center. In…

Q: If a triangle is known to have sides of length ?=10 c=7 angle b= 52 ̊, a)find the missing side…

Q: A B D

A: solution.

Q: Given a polygon, ABCDE. Find the measure of angles 0, а E A P/ 30 50° D 30 50 30 20 70° 40 B

A: We have to find the measure θ and α using the given figure.

Q: Can a triangle have sides with the given lengths? Yes NO 6 in., 6 in., 12 in DO 12 ft, 6 ft., 7 ft.0…

A: Since, we have been given a triangle with the given lengths and ouraim is to verify that whether it…

Q: 1. What is the measure of ZB in the triangle shown? B

A: Right-angle triangle: - The definition of a right triangle is that it is a right-angled triangle or…

Q: If A, is the area of a triangle with sides a, b, and c, what is the radius of the circle…

A: Given AΔ is the area of the triangle with sides a, b, and c. We have to find the radius of the…

Q: What is the measure of Zz? Angles are not necessarily drawn to scale. A C 73°

Q: A triangle AABC contains sides of lengths 12, 9, and 17, respectively. What type of triangle is…

A: We have to check the triangle

Q: Given the side lengths, determine whether the triangle is acute, obtuse, right, or not a triangle.…

A: here 5^2+9^2=106 10^2=100 here 106>100 so, obtuse triangle.

Q: Can a triangle have sides with the given lengths? Yes No 12 ft., 6 ft., 7 ft. 6 in., 6 in., 12 in 2…

Q: Consider the triangle below. What is the perimeter of the triangle?

Q: Given the side lengths, determine whether the triangle is acute, obtuse, right, or not a triangle.…

A: Given:- Side lengths 16,21,28

Q: What is the measure of Zx? Angles are not necessarily drawn to scale. В 56° 114° D A C

Q: . Perdita thinks an isosceles triangle can exist with side lengths 7 cm, 15 cm, and 7 cm. Hector…

A: Given side lengths = 7 cm,15 cm,7 cm

Q: Which of the following could be the three side lengths of an isosceles triangle? @ 6 in., 6 in., 12…

A: The correct option is option (c) 4 in, 3 in, 4 in An isosceles triangle has two equal sides. But,…

Q: Find the area of a triangle with the given information ?∠? = 28°, ? = 6.7??, ? = 7.6 ?

A: Here assume triangle with proper name,

Q: Given the side lengths, determine whether the triangle is acute, obtuse, right, or not a triangle.…

A: c2= a2+b2 then it is right angle triangle c2>a2+b2 then it is obtuse triangle c2<a2+b2 then…

Q: Given the side lengths, determine whether the triangle is acute, right, obtuse or not a triangle.…

A: Option (b) is correct (I.e., obtuse) a=3 b=9 c=10 Pythagoras theorem which says that square of…

Q: (a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle, (b)…

Q: Given the side lengths, determine whether the triangle is acute, right, obtuse or not a triangle.…

A: The sides of triangle are a=15, b=17 and c=21.

Question

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

Expert Solution