Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
In the given figure Find if all measurements are indicated in centimeter.
In the given figure \( A B \| C D . \) Find \( x+y \) if all measurements are indicated in centimeter.
- A. \( 4.5 \mathrm{cm} \)
- B. 7.5 \( \mathrm{cm} \)
- C. 6 .5 \mathrm{cm} \)
- D. \( 2.75 \mathrm{cm} \)
Step-by-step solution
Since AB || CD, using properties of similar triangles formed by the intersection of diagonals (or by dropping perpendiculars), we set up proportions based on given lengths. Solving yields x = 3 cm and y = 4.5 cm, so x + y = 7.5 cm.
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