Question
Download Solution PDFThe larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two angles are supplementary, and the larger angle is 28º more than the smaller angle.
Formula used:
If two angles are supplementary, their sum is 180º.
Let the smaller angle be x.
Larger angle = x + 28º
Calculation:
Sum of angles = x + (x + 28º) = 180º
⇒ 2x + 28 = 180
⇒ 2x = 180 - 28
⇒ 2x = 152
⇒ x = 76º
∴ The correct answer is option (4).
Last updated on Jul 17, 2025
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