In triangle RST, the measure of angle S = 84 degrees and measure of angle T = 42 degrees. The bisectors of angle R and angle S meet at the point V in the interior of triangle RST. What is the measure of angle RVS?

Q: Given a triangle with a=6cm,b=5,and c=10,find the remaining angles and side.

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

A: a=90, b=70 & c=40 The diagrammatic representation is,

Q: The sides of a triangular lot measure 80m,90m,and 100m. What is the measure of the angle formed…

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Q: By considering the given sides of the triangle, we can tell that angle 0 is: 2 cm 9 cm greater than…

A: Suppose the triangle is as below :

Q: The front wheel of a tricycle has a circumference of 56 inches, and the back wheels have a…

A: topic - lowest common multiple 56=2*2*2*7 24=2*2*2*3 LCM(56,24)=2*2*2*3*7=168

Q: The measure of one interior angle of a parallelogram is twice the measure of another angle. Find the…

A: Let ABCD be a parallelogram .  In parallelogram , opposite angles are equal Consecutive angles are…

Q: If the measure of ZDBE is 40° and angles EBC and ABD are congruent, what is MZEBC? Do 40° MZABC=…

A: Given that the measure of angle DBE is 40 degree and also the angles EBC and ABD are equal. It is…

Q: The measures of the interior angles of a quadrilateral are x, 2x,3x and 4x. What is the measure of…

A: we have given the measure of the interior angles of a quadrilateral are x, 2x, 3x and 4x .  We have…

Q: The four sequential sides of a quadrilateral have lengths a=5.2, b=6.7, c=8.3, and d=11.7 (all…

A:

Q: If two angles of an isosceles triangle measure 35 and the base of the triangle is 18 feet, find the…

A: Given,            The two angles of an isosceles triangle measure 35 and the base of the triangle is…

Q: A land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long and 513…

A: An angle in minutes can be converted into degrees by dividing it by 60. The area of a triangle is…

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: the sides of a triangle are 18 cm, 24 cm, and 34 cm, respectively. determine the angle bisector from…

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Q: What is the measure of angle R, given the largest triangle is a right triangle?

A: Given: The largest triangle is a right triangle. To Find: Measure of angle R

Q: Suppose the two triangles shown below are congruent. If ∠∠B = 65 units and ∠∠C = 37 units what is…

A: The given figures are:

Q: In a TLE class, a student wants to cut a portion of a circular cloth with a radius of 12 cm. What is…

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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: tWo triangles are congruent. If they are, state how you know.

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Q: For triangle FGH, the measure in degrees of angles F, G, and H are 86, 32, and 3x + 5 respectively.…

A: Given ,  For triangle FGH, ∠F = 86°  ∠G = 32° ∠H = (3x + 5)° We have to find the value of x  We know…

Q: If a triangle has two angles that measure 45 to 90 degrees, what is the measure of the third angle?

A: Given problem is : If a triangle has two angles that measure 45 to 90 degrees, what is the measure…

Q: The movement of the progress bar may be uneven because questions can be worth more or less…

A: Given, triangles FIM and LAK below are similar. and LA = AK Since, the ∆ FIM and ∆ LAK are…

Q: 2 One side of a triangular lot is 100 ft and the angle opposite this side is 55°. Another angle is…

A: Given that: One side of a triangular lot is 100ft and angle opposite is 55°. Other angle is 63°

Q: The ratio of the interior angle of a triangle is 3:4:5, if its perimeter measures 40 cm. Find the…

A: Let's find.

Q: in equilateral triangle CME, MB is an altitude and DE is an angle bisector. if BE=27-5x and DM=5x-3,…

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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: If the measure of ZABD is twice the measure of CBD, what is the measure of ZCBD? If mZABE = mZCBD=…

A: Given: (a)  ∠ABD=2∠CBD        ∠CBD=?(b)  ∠ABE=∠CBD=45ο       ∠EBD=?

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

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Q: If angle B measures 45 degrees and side A is 10 meters, What is the height of side B?

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Q: If the triangles shown are similar so that 3:4:5 = x:y:15, what are the values of x and y?

A: Given:

Q: An equilateral triangle has sides that measure 3x - 2, 2x + 1, and 5x - 8. What is the length of…

A: sides of the equilateral triangle are equal.

Q: The measures of the exterior angles of a quadrilateral are 3x", 5x", 7x°, and 9x°. Find the measure…

A: When the sides of a quadrilaterals are extended and the exterior angles are produced. The sum of…

Q: The interior angle of a regular polygon is twice the exterior angle. How many sides have the…

A: The interior angle of a regular polygon is twice the exterior angle .

Q: The trusses of the roof of a house are in the form of an isosceles triangle. If the sides have…

A: Given :  A isosceles triangle with the sides 4m, 4m and 7m.   To find :  Measure of angle formed by…

Q: In quadrilateral ABCD, the measure of exterior angle A is twice m ZB, 20 more than m ZC, and 40 more…

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Q: The exterior angles of a pentagon are (x + 5)°, (2x + 3)°, (3x + 2)°,(4x + 1)° and (5x + 4)°…

A:

Q: Quadrilateral ABCD is a kite. Angle D is included between the two non-congruent sides and it…

A: By using kite property, we find the measure of angle 'C'.

Q: In right triangle XYZ, the measure of angle Y is 30° and the measure of angle Z is 60°. Triangle…

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Q: The sides of a parallelogram are 10 and 20 in long and the included angle is 40°. What is the height…

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Q: The triangles are congruent by X, W %23 Y Y

A: We have the theorem," If the legs of a right triangle are congruent to the corresponding legs of…

Q: Side A has a length of 12 m, and angle Y is 12. What is the length of side B?

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Q: What is the measure of each exterior angle of a regular decagon (10 sides)

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Q: The measures of the exterior angles of a quadrilateral are 4x°, 7x°, 9x°, and 10x°. Find the measure…

A: When the sides of a quadrilaterals are extended and the exterior angles are produced. The sum of…

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: In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Find the measure of…

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Q: For a sewing project, Tanya cut isosceles triangles from a striped piece of material where the…

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Q: hypotenuse has a length of 65 in., and side A has a length of 31 in. What is angle X?

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Q: In triangle ABC, DE intersects sides AB and AC and is parallel to side BC. If AD = 6; DB = 8; AE =…

A: According to given data, we have

Q: the interior angle of a regular polygon is four times its exterior angle . Find the number of sides…

A:

Q: n parallelogram ABCD, if the measure of angle A=57, which diagonal (AC or BD) would have greater…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.