Question

ABCD IS A TRAPEZIUM WORK OUT THE SIZE OF ANGLE CDA.

Answer 1

Answer:

The measure of angle CDA is $27.6\°$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABF

Applying Pythagoras Theorem

$A.F^{2}=6.5^{2}-6^{2}$

$A.F^{2}=6.25$

$A.F=2.5\ cm$

In the right triangle CED

$CE=6\ cm$

$ED=23-(9+2.5)=11.5\ cm$

so

$tan($

substitute the values

$tan($

$($