Question

find x and y in the following figure ​

Answer 1

Answer:

y = 144 degree

x = 54 degree

Step-by-step explanation:

FOR angle y

angle AOB = 180

angle ( AOD + DOB ) = 180

36 + angle y = 180

angle y = 180 - 36

angle y = 144

FOR angle x

angle ACB = 90 ( angle in semicircle is 90 )

angle CAB = 36

angle ABC = x

sum of angles of triangle = 180

IN TRIANGLE ABC

angle CAB + angle ABC + angle ACB = 180

90 + 36 + x = 180

x + 126 = 180

x = 180 - 126

x = 54

Answer 2

We have angle BAC is given 36 degree

and BCA is90 degree

the some of angle of triangle is 180 degree

Now we find angle B

180°= angle A+ angle B +angleC

=36°+angle B+ 90°

=126° + angle B

angle B =180°-126°

angle B =54°