Question

Find angle x, y and z​

Answer 1

<x = 37⁰, <y = 95⁰ and <z = 48⁰.

Explanation:

< z and 143⁰ = 180 (adjacent angles)

So,

<z = 180 - 143

= 37⁰

Consider the large triangle

<x = 180 - (80 + 52 )

= 180 - 132

= 48⁰

Now consider the small triangle:

<y = 180 - x - z

= 180 - (37 + 48)

= 180 - 85

= 95⁰.