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Geometry

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NTPC Graduate Tier 1 2025 Shift-1 📅 06 May, 2025

The larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:

A

76

B

79

C

80

D

84

Result Summary

APEDIA

NTPC Graduate Tier 1

2025 • 06 May, 2025 • Shift-1

The larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:

Correct Answer

76

Angle Properties: Supplementary angles are pairs of angles that always add up to exactly 180 degrees.Variable Assignment: Let the smaller angle be represented b......

💡 Analysis & Explanation

Angle Properties ▼

Supplementary angles are pairs of angles that always add up to exactly 180 degrees.

Variable Assignment ▼

Let the smaller angle be represented by 'x'. The larger angle is given as 'x + 28'.

Equation Formulation ▼

Setting up the geometric relationship: x + (x + 28) = 180.

Solving the Equation ▼

2x + 28 = 180 implies 2x = 152. Dividing by 2 yields x = 76 degrees.

Conclusion ▼

The measurement of the smaller angle is 76 degrees.