Geometry Quiz 10th Class

Supplementary Angles

• The supplement of an angle is the angle that, when added to the original angle, equals 180 degrees.
• Therefore, the supplement of a 65-degree angle is 115 degrees (180 - 65 = 115).

Ratios and Proportions

• A ratio of 3:4 indicates that for every 3 units of the shorter side, there are 4 units of the longer side.
• With a shorter side of 12 units, the longer side is 16 units (12 / 3 * 4 = 16).

Upper Bounds and Measurement Uncertainty

• The upper bound of a measure represents the maximum possible value within a given range of uncertainty.
• The ± 0.3 cm in the measurement 5.2 cm ± 0.3 cm indicates a potential variation of 0.3 cm in either direction.
• Therefore, the upper bound is determined by adding the uncertainty to the measured value (5.2 cm + 0.3 cm = 5.5 cm).

Complementary Angles

• Complementary angles are two angles that add up to 90 degrees.
• The complementary angle to a 40-degree angle is 50 degrees (90 - 40 = 50).

Ratios and Angle Measures

• Two angles in the ratio 2:3 can be represented as 2x and 3x, where x is a common factor.
• Since the sum of the angles is 90 degrees, we have 2x + 3x = 90.
• Solving for x gives us x = 18.
• The smaller angle, represented by 2x, measures 36 degrees (2 * 18 = 36).