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

Q: If a quadrilateral is inscribed in a circle, then its opposite angles are angles. * O equal O right…

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Q: A negative angle greater than  −720°  that is coterminal to  −203°  is

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Q: In all isosceles triangles, the exterior angle of a base angle must always be

A: To find the exterior angle of a base angle in all isosceles triangle :

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: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

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Q: A midpoint is to a segment as an angle bisector is to an angle. O True O False

A: Answer

Q: In Circle O, line AOC is a diameter, line ADB  is a secant, and line BC  is a tangent. If the…

A: the figure formed will be  as we know that the measure of arc DC is 3 less than twice the measure…

Q: A positive angle less than 2π that is coterminal with 43π/6 is

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Q: The converse of the corresponding angles Theorum states that if two coplanar lines are cut by a…

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Q: If two angles in a triangle measure 25° and 25°, then the measure of the third angle is 130°. O True…

A: We know that sum of interior angle in a triangle is 180°

Q: If one angle in a right triangle measures 45°, then the triangle is an isosceles triangle. O True O…

A: If two angle of a right angle triangle are equal then it is right isosceles triangle.

Q: 1. The foot of a ladder is 1.8 m from the base of a wall. If the ladder makes an angle of 72° with…

A: To solve the following problem

Q: What is the sum of the measures of the exterior angles of a quadrilateral? If necessary, round to…

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Q: A triangle has an opposite side of 5, a hypotenuse side of 13, and an angle of Ɵ. What is the…

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Q: Prove: If the sum of the angles of a triangle is a constant n, then n = 180 and thus the geometry is…

A: Consider a triangle:   Here, ∠A+∠B+∠C=n (constant)……1

Q: For what values of x and y are the triangles to the right congruent by HL? X x+2 4y y+4 ..... X =…

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Q: find to the nearest tenth, the length of one of the congruent sides of an isosceles triangle if the…

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Q: In Circle O, line AOC is a diameter, line ADBis a secant, and LINE BC is a tangent. If the measure…

A: . Given , the circle O, line AOC is 9 diameter , line ADB is secant, and LINE BC is a tangent mDC¯=…

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 the measure of each exterior angle of a regular polygon is 20, then the polygon has _____ sides.

A: Measure of exterior angle of polygon is 20o To find the sides of polygon

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: The formula for the sum of the measures of the interior angles of a polygon is A = 180°(n - 2). O…

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Q: Show that the measure of an exterior angle of a triangle is equal to the sum of the measures of two…

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Q: f M and N are midpoints of sides AB and BC of triangle ABC, then MN=1/2(AC). True or false?

A: The given statement is

Q: It is impossible for a triangle to have three congruent sides and one right angle. O True O False

A: topic - triangles  it is impossible for triangle to have three congruent sides and one right angle…

Q: Suppose we know the length of one side and one acute angle of a 30°9 60° right triangle. Is it…

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Q: a) Juan claims that AABC= AZYx by SAS while his friend Freddy disagrees. Who is right and why? X B…

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Q: show that the sum  of the measures of the three interior angles of a triangle is 180 degrees

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Q: If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon above.

A: JOIN AD BY USING THEOREM that if lines are parallel then sum of co-interior angle is 180. 2) if…

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: A father wishes to make a home plate for his son to use in practicing baseball. Find the size of…

A: a. We are going to use the following graph. By the assumptions, m∠A=m∠B=m∠C m∠D=m∠E=90°

Q: Which statement is true about every exterior angle of any quadrilateral inscribed in a circle? The…

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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: prove that the sum of the interior angles of a triangle ABC is 180 degrees

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Q: If a kite has one angle that measures 150°, the kite can only have a single obtuse angle. O True O…

A: To explain about the obtuse angle of kite

Q: What additional information would prove the triangles congruent by the hypotenuse-

A: Consider the given figure:

Q: A triangle has one angle of 120°, what must be true about the other two angles?

A: One of the angles of triangle is 180° .    Sum of angles in triangle is 180°    Thus,  Sum of other…

Q: Given that 2 parallel lines are cut by a transversal, solve for the measure of the angle marked with…

A: given two angles are corresponding angle  hence , they are equal

Q: A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that…

A: Topic:- geometry

Q: Select all of the statements that must be true to prove that triangle ABC is congruent to triangle…

A: we have to select all the statement that must be true to prove the given triangles are congruent by…

Q: Given that 2 parallel lines are cut by a transversal, solve for the measure of the angle marked with…

A: we know that corresponding angles are congruent when a transversal bisect two parallel lines.…

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

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Q: If the measure of each interior angle of a regular polygon is 108. then the polygon is a (n) ___?

A: We know that measure of each interior angleθ of a regular polygon is given by θ=n-2×180∘n…

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: Find the measure of each numbered angle and name the theorems that justify your work. 6. m21 = x +…

A: Consider the following figure: m∠1=x+10°m∠2=3x+18°

Q: When two parallel lines are cut by a transversal, the alternate exterior angles are O A) congruent.…

A: For the solution follow the next step.

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

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Q: For what values of x and y are the triangles to the right congruent by HL? x+2 y+7 and y =

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

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Q: In an isosceles trapezoid, each pair of base angles is congruent. True O False

A: An isosceles trapezium is a trapezium in which the non-parallel sides are equal in length.