1.Prove that opposite angles in a cyclic quadrilateral are supplementary.

Q: If the measure of each angle of a polygon is 174, then the measure of each exterior angle is ____…

A: The exterior angle is the supplement of the interior angle. That is, the sum of the interior angle…

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

A:

Q: 1. Illustrate that the sum of the measures of the angles of a hyperbolic triangle is less than 180°.

A: As per Bartleby Q/A guidelines, we are only allowed to solve or prove the first question if multiple…

Q: Suppose the largest angle of a triange is the sum of the other two angles. Find the smallest angle…

A: We know that sum of angles of triangle is 180 Then we will form another two equation by given…

Q: Question 2 Quadrilateral ABCD is inscribed in this circle. Which of the staternents must be true?

A:

Q: If two triangles are similar, then corresponding anglesare________ and the lengths of corresponding…

A: Two triangles are said to be similar if their corresponding angles are congruent…

Q: If A, B and C are vertices of a triangle then what is AB+ BC +CA?

A: It is given that A, B and C are the vertices of the triangle as shown below.

Q: 2. Illustrate that the sum of the measures of the angles of an elliptic triangle is more than 180°.

A: We will illustrate that the sum of the measures of the angles of an elliptic triangle is more than…

Q: Theorem 1. If a parallelogram has a right angle, then it has four right angles and the parallelogram…

A: Parallelogram: It is a special type of quadrilateral whose opposite sides are parallel and equal,…

Q: If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does the…

A: sum =(n-2)180    ....(1) given sum=1980

Q: One way to show that two triangles are similar is to show that

A: One way to show that two triangles are similar is to show that corresponding angles in triangles are…

Q: ) Are the triangles similar? *

A: Given triangle ABC and MNL

Q: if a triangle has a length of 3  and a height of 2 what is the angle opposite of 2

A:

Q: If two triangles are similar, then corresponding anglesare and the lengths of corresponding sides…

A: If two triangles are similar, then corresponding angles are equal and the lengths of corresponding…

Q: Find the smallest angle (in degrees) of a triangle whose sides have lengths of 2√2, 2√3, and √6+√2.

A: We have to find the smallest angle.

Q: True or False:  If each interior angle of a regular polygon has a degree measure of 168°, the…

A: Formula for interior angle of a polygon is given by: einterior angle =n-2n×180° Where, n= number of…

Q: 4. Problem: Prove that in an isosceles triangle the angle bisectors of the congruent angles are…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Opposite angles in a cyclic quadrilateral are supplementary. O True O False

A: Let ABCD be the cyclic quadrilateral inscribed inside a circle with centre C.

Q: if a triangle has sides of x,2x,and 3x-1, what is the perimeter?

A: Here is the solution.

Q: 2. Illustrate that in Euclidean geometry, the sum of the angles of a triangle is 180°.

A: We have proved that in Euclidean geometry, the sum of the angles of a triangle is 180o.

Q: Prove that the sum of opposite angles of a cyclic quadrilateral is 180°.

A: ABCD is cyclic quadrilateral. 'o' is center. We have to prove  ∠ADC+∠ABC=180°   Construction: Join…

Q: Suppose triangle ABC is a right triangle with right angle at angle C, A equals 27.6 and b= 43.7 .…

A: This question is related to right angle triangle, we will use trignometric ratios to solve this.

Q: Are these triangles similar? If so, what is the similarity statement?

A:

Q: 4. The line segment that joins the midpoints of the nonparallel sides of a trapezoid is parallel to…

A: A trapezoid is a quadrilateral with one pair of parallel sides. Consider the figure given below:…

Q: In order for two polygons to be similar, you must show that corresponding angles…

A: Similar polygons

Q: 3. The familiar Pythagorean Theorem states that if AABC is a right triangle with right angle at…

A:

Q: Are these triangles similar? *

A: Here we have to choose the correct option.

Q: Prove that a quadrilateral can be inscribed in a circle if and only if its opposite angles are…

A:

Q: In the legs of a right triangle are congruent, then it is a 45 - 45-90 degree triangle. True or…

A: Given,The legs of a right triangle are congruent.

Q: 5 cm -- -- ----

A: Given: An equilateral triangle side is 5 cm that it's distance from the triangle is 2 cm.

Q: True or False Two triangles are congruent if two angles and the included side of one equals two…

A: The Angle-Side-Angle or ASA rule says that two triangles are congruent if corresponding two angles…

Q: Illustrate that the sum of the angles of a hyperbolic triangle is less than 180 degrees.

A: We have to illustrate about why sum of the angels of a hyperbolic triangle is less than 180 degree.

Q: A quadrilateral with both pairs of opposite sides parallel is classified as a: kite trapezoid…

A: A quadrilateral with both pairs of opposite sides parallel then this is classified as ....

Q: A cyclic quadrilateral is a quadrilateral whose vertices are on the circle. Are opposite angles of…

A: Given :- A cyclic quadrilateral is a quadrilateral whose vertices are on the circle

Q: Are the two triangles similar? If so, by what similarity shortcut?

A: The figure is as shown below :

Q: triangle ???, has sides 40, 20 and 24. What is the length of the median from the longest side to the…

A:

Q: The sum of the measures of the interior angles of any quadrilateral is exactly 360°. O True O False

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Q: What is the approximate perimeter of a triangle with vertices at (-1,3), (4,6), and (4,-2)

A:

Q: Does a scalene triangle have line symmetry?

A: A scalene triangle is a triangle in which all three sides are in different lengths, and all three…

Q: If both pairs of opposite angles are congruent in a quadrilateral, then the quadrilateral is a…

A:

Q: If the number of sides of a regular polygon is 8, then each exterior angle is equal to of its…

A:

Q: In a 30-60-90 right triangle, if the measure of the hypotenuse is 4, find the distance from the…

A: Given problem:- In a 30-60-90 right triangle, if the measure of the hypotenuse is 4, find the…

Q: If the sum of the measures of the interior angles of a polygon is 5400°, how many sides does it…

A:

Q: the length of the angle bisector of one base angle of an isosceles triangle whose leg is 50 cm and…

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Q: What is the sum of the exterior angles of the given polygon?

A:

Q: Are these triangles similar? If yes, how do you know?

A: We will solve the following.

Q: According to the Angle-Angle Similarity Postulate, if two triangles have two corresponding angles…

A: If two angles of a triangle are congruent to two angles of another triangle, then the two triangles…

Q: 3. If each of the two incident angles in a right-sided triangle is equal to 300, then the length of…

A: