Question

ABCD is a rectangle with diagonals AC and BD meeting at O. if DAC = 50°, find the measure of each of the angles marked a, b, c,d,e,f,g​

Answer 1

<BAD = 90° (ABCD is a rectangle)

<CAD = <BAD-28

= 90 - 28 =

<CAD = 62°

Now,

In Triangle CAD and DBC

<ADC = <BCD (each 90°)

AD = BC (Opposite sides of rectangle)

CD =DC (common)

So, Triangle CAD congurent Triangle

DBC

(By S. A. S criteria)

<DBC = <CAD (C. P. C. T)

< DBC = 62°

= 62°

<OBC = 62°