Question

16. In Fig. 11.45 if AB perpendicular BC, then x =
please give answer in step-by-step explaination.​

Answer 1

Step-by-step explanation:

Angle CBA IS 90 degree as it is a right triangle

Angle BAC is 32 degree ( opposite angles are same )

angle BCA = 180 - (32+90) (angle sum property of triangle)

angle BCA = 58

second part (finding angles of outer triangle)

as we know BCA is 58 the other angle of outer triangle is

180-58 because it forms a linear pair

so other angle is 122

now 122+X+14+X = 180 (angle sum property of triangle)

136+2x= 180

2x = 180-136

2x ° = 44

X = 22

hope it helps cheers mark me as brainliest

another method :

32+X+X+14+90 = 180 (combining all angles of both triangle which sum upto 180 on behalf of angle sum property of triangles)

136+2x=180

2x = 180-136+ 44

X = 22

answer is same