Question

Find x, y and z in the following figures. ​​

Answer 1

Answer:

hope it helps you!!

Step-by-step explanation:

In ∆ABC,

we know that, x + 50° + 40° = 180°

=> x = 180° - 90°

=> x = 90°

now, we know that

x + y = 180(linear pair)

=> 90° + y = 180°

=> y = 180° - 90° =90°

and In ∆ ABD

y + z + 28° = 180°

=> 90° + z + 28°= 180°

z = 180° - 118°

= 62°

Answer 2

Answer:

x = 90°

y = 90°

z = 62°

Step-by-step explanation:

angle ABC = 50°

angle ACB = 40°

angle ABC + angle ACB + angle BAC = 180° by angle sum property

50°+40°+x=180°

90° + x = 180°

x = 180 - 90

x = 90°

angle x + angle y = 180° by linear pair

90 + y = 180

y = 180-90

y = 90°

angle DBA + angle DAB + angle z = 180° by angle sum property of a triangle

28 + y + z = 180

28 +90 + z = 180

118 + z = 180

z = 180 - 118

z = 62°