Question

ABCD is a rectangle with its diagonals AC and BD meeting at O.
If angle DAC = 50°. Find the measure of the angles marked a, b,c,d,e,f,g
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Answer 1

Answer:

Step-by-step explanation:

<BAD = 90° ( ABCD is a rectangle)

<CAD = <BAD-28

= 90 - 28

= 62°

<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°

<OBC = 62°

Answer 2

Answer is in picture