The larger of two supplementary angles is 50° more than the smaller one. The smaller angle (in degree) is:

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NTPC Graduate Tier 1

2025 • 06 May, 2025 • Shift-1

The larger of two supplementary angles is 50° more than the smaller one. The smaller angle (in degree) is:

Correct Answer

Supplementary Concept: In planar geometry, a pair of angles are termed supplementary exclusively if their absolute measures sum up to exactly 180 degrees.Variab......

💡 Analysis & Explanation

Supplementary Concept ▼

In planar geometry, a pair of angles are termed supplementary exclusively if their absolute measures sum up to exactly 180 degrees.

Variable Formulation ▼

Let the unknown smaller angle be denoted by 'x'. Following the problem's constraints, the larger angle is strictly expressed as 'x + 50'.

Equation Solving ▼

Combining these representations mathematically gives the equation x + (x + 50) = 180. Simplifying this results in 2x = 130.

Final Derivation ▼

Dividing both sides by 2 isolates the variable, giving x = 65.

Conclusion ▼

The definitive measurement of the smaller geometric angle is 65°.

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The larger of two supplementary angles is 50° more than the smaller one. The smaller angle (in degree) is: