Question

The following figure is a rectangle in which x : y = 4 : 6 , find the values of x and y

• A. Base
• B. Height
• C. 90° , 90°
• D. 36°, 54°

Answer 1

The correct option is D

36°, 54°

Given that ABCD is a rectangle . All angles of a rectangle are 90°

$\therefore$ Consider triangle BCF

$\angle$ BCF = 90°

$\therefore$ x + y = 90 ( sum of angles of a triangle is 180°)

Since x: y = 4:6 , Let the angles be 4k and 6k

we have 4$k$ + 6$k$ = 90°

10$k$ = 90°

$k$ = 9

Hence $x$ = 4(9) = 36° and $y$ = 6(9) = 54°