Question

7) Find the value of unknown 'x' in the following diagrams: ​

Answer 1

(i) Solution:

Angle sum property (Sum of all angles in a triangle equals 180)

$x + x + x = 180\\3x = 180\\x = \frac{180}{3}\\x = 60$

(ii) Solution:

Angle sum property

$55 + 17 + x = 180\\72 + x = 180\\x = 180 - 72\\x = 108$

(i) x = 60

(ii) x = 108