The angles of a triangle are in ratio 4 ∶ 3 ∶ 2, what will be the supplementary of the largest angle of the triangle?

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RRB NTPC Exam 19 Jan 2021 click here to view all questions

The angles of a triangle are in ratio 4 ∶ 3 ∶ 2, what will be the supplementary of the largest angle of the triangle?

A60°

B80°

C90°

D100°

Akhilesh ? Apr 18 '25 at 12:34

Correct Answer: [d] 100°

Explanation:

The angles of a triangle are given in the ratio 4:3:2. Let the common multiplier be \( x \) Therefore, the angles can be expressed as \( 4x \), \( 3x \), and \( 2x \)

The sum of the angles in a triangle is \( 180^\circ \) Hence, we have:

\( 4x + 3x + 2x = 9x = 180^\circ \)

Solving for \( x \):

\( x = \frac{180^\circ}{9} = 20^\circ \)

The largest angle is \( 4x \):

\( 4x = 4 \times 20^\circ = 80^\circ \)

The supplementary angle of \( 80^\circ \) is:

\(180^\circ - 80^\circ = 100^\circ\)

Therefore, the correct answer is:

Final Answer: \(\boxed{100^\circ}\)

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A surveyor has been asked to check the measurements at the worksite of lengths between various survey poles measuring 10.8m, 13.2m, 14.4m and 15.6m. What is the longest measuring tape that is needed for the job?

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KPTCL Assistant Exam (Mescom) SLOT-1 7-MAY­-2017 click here to view all questions

A surveyor has been asked to check the measurements at the worksite of lengths between various survey poles measuring 10.8m, 13.2m, 14.4m and 15.6m. What is the longest measuring tape that is needed for the job?

A1.8m

B1.2m

C2.4m

D1.6m

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If angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find the largest angle?

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RRB Non Technical Exam (Secunderabad) 2016 click here to view all questions

If angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find the largest angle?

A155

B170

C156

D150

rihad ? Jan 10 '2020 at 14:17

Correct answer is: 156

Explanation:

Let the angles be 3x, 5x, 9x, 13x

3x + 5x + 9x + 12x = 360.

 30x = 360

x = 120

 Angles are 36, 60, 108, 156.

largest angle is 156

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The perimeter of a triangle is 28 cm. If the length is 5/2 times its breadth, find the length and breadth of the triangle.

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RRB Non Technical Exam (Secunderabad) 2016 click here to view all questions

The perimeter of a Rectangle is 28 cm. If the length is 5/2 times its breadth, find the length and breadth of the rectangle.

A9 & 5

B10 & 4

C6 & 7

D11 & 3

rahul ? Jan 14 '2020 at 10:50

Correct Answer is: 10 & 4

Explanation:

Sides 5x and 2x

Perimeter of rectangle = 2 ( Length + Breadth)

Perimeter = 2(5x+2x) =28

x=2

Sides =10 and 4

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Two angles are complementary, if the sum of their measures is-

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RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

Two angles are complementary, if the sum of their measures is-

A90°

B100°

C180°

D360°

raju ? Jan 8 '2020 at 7:49

Correct answer is :90°

Explanatopn:

(i) If two angles are complementary, then the sum of their measures is 9090.

(ii) If two angles are supplementary, then the sum of their measures is 180180.

(iii) Two angles forming a linear pair are supplemetary.

(iv) If two adjacent angles are supplementary, they form a linear pair.

(v) If two lines intersect at a point, then the vertically opposite angles are always equalequal.

(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are obtuseobtuse.

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