Question
Download Solution PDFA triangle can be constructed by taking two of its angles which are
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
In a triangle, the sum of all three interior angles must be equal to 180 degrees.
Calculation:
1. 90°, 90°: If we choose two 90-degree angles, the sum of these two angles is 90° + 90° = 180°.
This leaves no room for a third angle, so a triangle cannot be constructed with these two angles.
2. 135°, 45°: The sum of these two angles is 135° + 45° = 180°.
This leaves no room for a third angle, so a triangle cannot be constructed with these two angles.
3. 70°, 115°: The sum of these two angles is 70° + 115° = 185°, which is greater than 180°.
Therefore, a triangle cannot be constructed with these two angles.
4. 110°, 45°: The sum of these two angles is 110° + 45° = 155°, which is less than 180°.
∴ A triangle can be constructed with these two angles : 110°, 45°
Last updated on Jan 29, 2025
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