Question

Given the figure below, find the values of x and z.
63°
(5x + 48)°

Answer 1

x = 3°

z = 117°

Explanation:

Linear pair: If the non-common arm of two adjacent angles form a line, then they are called linear pair and they add up to 180.

Vertically opposite angles are equal.

5x + 48 = 63

Subtract 48 from both sides,

5x = 63 - 48

5x = 15

Divide both sides by 5

x = 15÷ 5

`\sf \boxed{\bf x = 3}`

z + 63 = 180 {Linear pair}

z = 180 - 63

`\boxed{\bf z = 117}`