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

Q: What is the sum of the measures of the interior angles of a convex 20-gon? The sum of the measures…

A: The sum of the measures of the interior angle of a polygon that has n sides is n-2·180°.

Q: (4x+37)° (7x+10)°

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Q: If an angle has a measure of 155°, what is the measure, in degrees of an angle that is supplementary…

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Q: What would be the sum of the measures of the angles of a pentagon (in degrees)? Explain how you…

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Q: If the sum of the interior angle of a regular polygon is 2340° how many sides does the polygon have

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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: Find the sum of the interior angle measure of the polygon.

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Q: If the measures of the three angles in a triangle are known, can you solve for the lengths of the…

A: If the measures of the three angles in a triangle is known then we can't find the length of the…

Q: The sum of all the measures of the exterior angles of a triangle is equal to (1) 90 (3) 270° (4) 360…

A: By using triangle property, we measure the sum of exterior angles

Q: Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.88295…

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Q: If the measure of two angles in a triangle are 60 and 100°, what is the measure of the third angle

A: The objective is to find the measure of third angle.

Q: Illustrate that the sum of the angles of an elliptic triangle is more than 180 degrees

A: The basic definition of lune is that, the lune is a wedge of a sphere with an angle θ and is…

Q: What is the sum of the interior angle measures of a regular 24-gon?

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Q: If the exterior angle of a polygon measures 119 degrees, then the sum of its two remote interior…

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Q: what is the measure of the exterior angle of a triangle if the two interior angles opposite it…

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Q: If the measure of each angle of a triangle is less than 90, the triangle is called____?

A: Given: The length of each angle of a triangle is less than 90° Since, The Sum of all angles of…

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: What is the sum of the measures of the exterior angles of a decagon?

A: SOLUTION-

Q: what is the sum of the interior angles of a decagon

A: Solution: The objective is to find the sum of the interior angles of a decagon

Q: What is the sum of the interior angles of a 21-gon?

A: The sum of the interior angles of a polygon with n sides is equal to (n-2)180°. A 21-gon implies…

Q: The side opposite to the Right angle in a right angled triangle is the hypotenuse True or False?

A: True

Q: Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the…

A: Let ABC be a triangle and let x, y & z be the exterior angles at the vertices A, B and C…

Q: Two angles with a sum of 900 are called __________ angles, and when the sum is 1800they are called…

A: Two angles with a sum of 900 are called  complementary angles.

Q: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

A: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

Q: Solve for the sum of the angles and measure of a single angle in a regular 15-sided polygon.

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Q: Prove 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: If triangle ABC has side a=90, b=70, and c=40, solve for interior angles.

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

A: This is a problem related to hyperbolic geometry. Based on the general concept we will explain the…

Q: The Pythagorean Theorem states that in any______triangle, the sum of the squares of the lengths of…

A: Use the Statement of the Pythagorean theorem which states

Q: What is the sum of the angles in a triangle, rectangle, and pentagon?

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Q: triangle

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Q: The sum of the measures of the interior angles of a polygon is 2520 degrees. How many sides does…

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Q: Prove that the sum of the measures of angle in a triangle is 180�

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Q: Three pieces of steel angle are welded to form a triangle.  If two pieces are welded at a 53.0°…

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

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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: In any triangle, the sum of the three interior angles is always _______.

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Q: If the longest side in a 30 degree –60 degree –90 degree  triangle is 10, find the length of the…

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Q: How could you convince someone that the sum of the angles of any quadrilateral is 360 degrees?

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

A: Topic:- geometry

Q: Suppose triangle LMN has angles that measure x, 3x, and 5x. What is the value of each angle from…

A: Sum of all angles of a triangle is 180° x + 3x + 5x = 180° 9x = 180° x = 20° 3x = 3× 20 = 60°  5x =…

Q: What is the sum of 7 of the interior angles of a regular octagon?

A: To find sum of 7 interior angles of a regular octagon.

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

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Q: Are the two triangles similar? How do you know?

A: 2 triangles are said to be similar when the respective angles of the triangles are equal and the…

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

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Q: What is the sum of the interior angles of a nonagon

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Q: The sum of the measure of the interior angles of a convex polygon with n sides is 180(n-2) degrees.…

A: To determine:- Measure of one interior                                 angle of a regular Pentagon.…

Q: What is the sum of an interior angle measures of a regular 13-gon?

A: The answer is found in step-2.

Q: Find the sum of the interior angles of a regular decagon. Find the number of triangles that would…

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